40127356800 has 192 divisors, whose sum is σ = 146855295600. Its totient is φ = 10700605440.

The previous prime is 40127356799. The next prime is 40127356813. The reversal of 40127356800 is 865372104.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40127356800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 145819 + ... + 318618.

Almost surely, 2^40127356800 is an apocalyptic number.

40127356800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40127356800 is an abundant number, since it is smaller than the sum of its proper divisors (106727938800).

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

40127356800 is a wasteful number, since it uses less digits than its factorization.

40127356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464470 (or 464447 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40127356800 in words is "forty billion, one hundred twenty-seven million, three hundred fifty-six thousand, eight hundred".