40977705384 has 1024 divisors, whose sum is σ = 159252480000. Its totient is φ = 9443174400.

The previous prime is 40977705323. The next prime is 40977705407. The reversal of 40977705384 is 48350777904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40977705384.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 460423612 + ... + 460423700.

It is an arithmetic number, because the mean of its divisors is an integer number (155520000).

Almost surely, 2^40977705384 is an apocalyptic number.

40977705384 is a gapful number since it is divisible by the number (44) 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 40977705384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79626240000).

40977705384 is an abundant number, since it is smaller than the sum of its proper divisors (118274774616).

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

40977705384 is a wasteful number, since it uses less digits than its factorization.

40977705384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 40977705384 in words is "forty billion, nine hundred seventy-seven million, seven hundred five thousand, three hundred eighty-four".