10020410400 has 1152 divisors, whose sum is σ = 45273102336. Its totient is φ = 1857945600.

The previous prime is 10020410371. The next prime is 10020410423. The reversal of 10020410400 is 401402001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103303152 + ... + 103303248.

It is an arithmetic number, because the mean of its divisors is an integer number (39299568).

Almost surely, 2^10020410400 is an apocalyptic number.

10020410400 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 10020410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636551168).

10020410400 is an abundant number, since it is smaller than the sum of its proper divisors (35252691936).

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

10020410400 is a wasteful number, since it uses less digits than its factorization.

10020410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

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

10020410400 divided by its product of nonzero digits (32) gives a triangular number (313137825 = T₂₅₀₂₅).

Adding to 10020410400 its reverse (401402001), we get a palindrome (10421812401).

The spelling of 10020410400 in words is "ten billion, twenty million, four hundred ten thousand, four hundred".