1540401408 has 576 divisors, whose sum is σ = 5860556800. Its totient is φ = 388177920.

The previous prime is 1540401403. The next prime is 1540401431. The reversal of 1540401408 is 8041040451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1540401403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19498713 + ... + 19498791.

Almost surely, 2^1540401408 is an apocalyptic number.

1540401408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930278400).

1540401408 is an abundant number, since it is smaller than the sum of its proper divisors (4320155392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1540401408 is a wasteful number, since it uses less digits than its factorization.

1540401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1540401408 is about 39247.9478189625. The cubic root of 1540401408 is about 1154.9006762287.

Adding to 1540401408 its reverse (8041040451), we get a palindrome (9581441859).

The spelling of 1540401408 in words is "one billion, five hundred forty million, four hundred one thousand, four hundred eight".