40903632000 has 2304 divisors, whose sum is σ = 203744885760. Its totient is φ = 7741440000.

The previous prime is 40903631987. The next prime is 40903632013. The reversal of 40903632000 is 23630904.

It is an interprime number because it is at equal distance from previous prime (40903631987) and next prime (40903632013).

It is a super-2 number, since 2×40903632000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1319471985 + ... + 1319472015.

It is an arithmetic number, because the mean of its divisors is an integer number (88430940).

Almost surely, 2^40903632000 is an apocalyptic number.

40903632000 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 40903632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101872442880).

40903632000 is an abundant number, since it is smaller than the sum of its proper divisors (162841253760).

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

40903632000 is a wasteful number, since it uses less digits than its factorization.

40903632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 40903632000 in words is "forty billion, nine hundred three million, six hundred thirty-two thousand".