40872499200 has 432 divisors, whose sum is σ = 157661627760. Its totient is φ = 10059448320.

The previous prime is 40872499181. The next prime is 40872499219. The reversal of 40872499200 is 299427804.

It is an interprime number because it is at equal distance from previous prime (40872499181) and next prime (40872499219).

It is a super-2 number, since 2×40872499200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5986989 + ... + 5993811.

Almost surely, 2^40872499200 is an apocalyptic number.

40872499200 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 40872499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78830813880).

40872499200 is an abundant number, since it is smaller than the sum of its proper divisors (116789128560).

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

40872499200 is a wasteful number, since it uses less digits than its factorization.

40872499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40872499200 in words is "forty billion, eight hundred seventy-two million, four hundred ninety-nine thousand, two hundred".