40252368000 has 512 divisors, whose sum is σ = 144834842880. Its totient is φ = 9830400000.

The previous prime is 40252367951. The next prime is 40252368019. The reversal of 40252368000 is 86325204.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156623872 + ... + 156624128.

Almost surely, 2^40252368000 is an apocalyptic number.

40252368000 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 40252368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72417421440).

40252368000 is an abundant number, since it is smaller than the sum of its proper divisors (104582474880).

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

40252368000 is a wasteful number, since it uses less digits than its factorization.

40252368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40252368000 in words is "forty billion, two hundred fifty-two million, three hundred sixty-eight thousand".