40000070400 has 216 divisors, whose sum is σ = 132300230160. Its totient is φ = 10643128320.

The previous prime is 40000070387. The next prime is 40000070413. The reversal of 40000070400 is 407000004.

It is an interprime number because it is at equal distance from previous prime (40000070387) and next prime (40000070413).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40000070400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9770754 + ... + 9774846.

Almost surely, 2^40000070400 is an apocalyptic number.

40000070400 is a gapful number since it is divisible by the number (40) 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 40000070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66150115080).

40000070400 is an abundant number, since it is smaller than the sum of its proper divisors (92300159760).

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

40000070400 is a wasteful number, since it uses less digits than its factorization.

40000070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

Adding to 40000070400 its reverse (407000004), we get a palindrome (40407070404).

The spelling of 40000070400 in words is "forty billion, seventy thousand, four hundred".