40814011123200 has 960 divisors, whose sum is σ = 171293552939520. Its totient is φ = 9324272517120.

The previous prime is 40814011123199. The next prime is 40814011123213. The reversal of 40814011123200 is 232111041804.

40814011123200 is a `hidden beast` number, since 40 + 8 + 1 + 401 + 1 + 12 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8038999062 + ... + 8039004138.

It is an arithmetic number, because the mean of its divisors is an integer number (178430784312).

Almost surely, 2^{40814011123200} is an apocalyptic number.

40814011123200 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 40814011123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85646776469760).

40814011123200 is an abundant number, since it is smaller than the sum of its proper divisors (130479541816320).

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

40814011123200 is a wasteful number, since it uses less digits than its factorization.

40814011123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40814011123200 in words is "forty trillion, eight hundred fourteen billion, eleven million, one hundred twenty-three thousand, two hundred".