70400102400 has 312 divisors, whose sum is σ = 258633773760. Its totient is φ = 18772623360.

The previous prime is 70400102389. The next prime is 70400102401. The reversal of 70400102400 is 420100407.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70400102401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2752069 + ... + 2777531.

Almost surely, 2^70400102400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70400102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129316886880).

70400102400 is an abundant number, since it is smaller than the sum of its proper divisors (188233671360).

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

70400102400 is a wasteful number, since it uses less digits than its factorization.

70400102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25506 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 70400102400 its reverse (420100407), we get a palindrome (70820202807).

The spelling of 70400102400 in words is "seventy billion, four hundred million, one hundred two thousand, four hundred".