40180919923200 has 1440 divisors, whose sum is σ = 163587981984768. Its totient is φ = 8500255948800.

The previous prime is 40180919923171. The next prime is 40180919923253. The reversal of 40180919923200 is 232991908104.

It is a super-2 number, since 2×40180919923200² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40180919923200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5941283019 + ... + 5941289781.

Almost surely, 2^{40180919923200} is an apocalyptic number.

40180919923200 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 40180919923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81793990992384).

40180919923200 is an abundant number, since it is smaller than the sum of its proper divisors (123407062061568).

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

40180919923200 is a wasteful number, since it uses less digits than its factorization.

40180919923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 40180919923200 in words is "forty trillion, one hundred eighty billion, nine hundred nineteen million, nine hundred twenty-three thousand, two hundred".