40472678400 has 1248 divisors, whose sum is σ = 175510195200. Its totient is φ = 7982284800.

The previous prime is 40472678369. The next prime is 40472678453. The reversal of 40472678400 is 487627404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685977571 + ... + 685977629.

Almost surely, 2^40472678400 is an apocalyptic number.

40472678400 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 40472678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87755097600).

40472678400 is an abundant number, since it is smaller than the sum of its proper divisors (135037516800).

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

40472678400 is a wasteful number, since it uses less digits than its factorization.

40472678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 40472678400 in words is "forty billion, four hundred seventy-two million, six hundred seventy-eight thousand, four hundred".