40431912000 has 224 divisors, whose sum is σ = 133929120000. Its totient is φ = 10747699200.

The previous prime is 40431911999. The next prime is 40431912007. The reversal of 40431912000 is 21913404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40431912007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8085501 + ... + 8090499.

Almost surely, 2^40431912000 is an apocalyptic number.

40431912000 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 40431912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66964560000).

40431912000 is an abundant number, since it is smaller than the sum of its proper divisors (93497208000).

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

40431912000 is a wasteful number, since it uses less digits than its factorization.

40431912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 40431912000 in words is "forty billion, four hundred thirty-one million, nine hundred twelve thousand".