40438070400 has 768 divisors, whose sum is σ = 168076742400. Its totient is φ = 8316518400.

The previous prime is 40438070399. The next prime is 40438070401. The reversal of 40438070400 is 407083404.

It is an interprime number because it is at equal distance from previous prime (40438070399) and next prime (40438070401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40438070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35817036 + ... + 35818164.

It is an arithmetic number, because the mean of its divisors is an integer number (218849925).

Almost surely, 2^40438070400 is an apocalyptic number.

40438070400 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 40438070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84038371200).

40438070400 is an abundant number, since it is smaller than the sum of its proper divisors (127638672000).

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

40438070400 is a wasteful number, since it uses less digits than its factorization.

40438070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 40438070400 in words is "forty billion, four hundred thirty-eight million, seventy thousand, four hundred".