70399400400 has 1800 divisors, whose sum is σ = 332545055040. Its totient is φ = 13884825600.

The previous prime is 70399400387. The next prime is 70399400497. The reversal of 70399400400 is 400499307.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2270948385 + ... + 2270948415.

Almost surely, 2^70399400400 is an apocalyptic number.

70399400400 is a gapful number since it is divisible by the number (70) 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 70399400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166272527520).

70399400400 is an abundant number, since it is smaller than the sum of its proper divisors (262145654640).

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

70399400400 is a wasteful number, since it uses less digits than its factorization.

70399400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 70399400400 its reverse (400499307), we get a palindrome (70799899707).

The spelling of 70399400400 in words is "seventy billion, three hundred ninety-nine million, four hundred thousand, four hundred".