1010024400 has 480 divisors, whose sum is σ = 4277726208. Its totient is φ = 197222400.

The previous prime is 1010024387. The next prime is 1010024413. The reversal of 1010024400 is 44200101.

It is an interprime number because it is at equal distance from previous prime (1010024387) and next prime (1010024413).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570479 + ... + 1571121.

Almost surely, 2^1010024400 is an apocalyptic number.

1010024400 is a gapful number since it is divisible by the number (10) 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 1010024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138863104).

1010024400 is an abundant number, since it is smaller than the sum of its proper divisors (3267701808).

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

1010024400 is a wasteful number, since it uses less digits than its factorization.

1010024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1010024400 is about 31780.8810450560. The cubic root of 1010024400 is about 1003.3303630360.

Adding to 1010024400 its reverse (44200101), we get a palindrome (1054224501).

The spelling of 1010024400 in words is "one billion, ten million, twenty-four thousand, four hundred".