40578938400 has 1728 divisors, whose sum is σ = 191507742720. Its totient is φ = 7315660800.

The previous prime is 40578938383. The next prime is 40578938417. The reversal of 40578938400 is 483987504.

It is an interprime number because it is at equal distance from previous prime (40578938383) and next prime (40578938417).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40578938400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319519137 + ... + 319519263.

It is an arithmetic number, because the mean of its divisors is an integer number (110826240).

Almost surely, 2^40578938400 is an apocalyptic number.

40578938400 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 40578938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95753871360).

40578938400 is an abundant number, since it is smaller than the sum of its proper divisors (150928804320).

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

40578938400 is a wasteful number, since it uses less digits than its factorization.

40578938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 40578938400 in words is "forty billion, five hundred seventy-eight million, nine hundred thirty-eight thousand, four hundred".