40927138560 has 1728 divisors, whose sum is σ = 191930618880. Its totient is φ = 7803371520.

The previous prime is 40927138501. The next prime is 40927138573. The reversal of 40927138560 is 6583172904.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 951793899 + ... + 951793941.

It is an arithmetic number, because the mean of its divisors is an integer number (111070960).

It is a 1-persistent number, because it is pandigital, but 2⋅40927138560 = 81854277120 is not.

Almost surely, 2^40927138560 is an apocalyptic number.

40927138560 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 40927138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95965309440).

40927138560 is an abundant number, since it is smaller than the sum of its proper divisors (151003480320).

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

40927138560 is a wasteful number, since it uses less digits than its factorization.

40927138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40927138560 in words is "forty billion, nine hundred twenty-seven million, one hundred thirty-eight thousand, five hundred sixty".