40534949664 has 576 divisors, whose sum is σ = 135908720640. Its totient is φ = 11735539200.

The previous prime is 40534949579. The next prime is 40534949671. The reversal of 40534949664 is 46694943504.

40534949664 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 494 + 96 + 64 = 666.

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 40534949664.

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, 319172769 + ... + 319172895.

It is an arithmetic number, because the mean of its divisors is an integer number (235952640).

Almost surely, 2^40534949664 is an apocalyptic number.

40534949664 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 40534949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67954360320).

40534949664 is an abundant number, since it is smaller than the sum of its proper divisors (95373770976).

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

40534949664 is a wasteful number, since it uses less digits than its factorization.

40534949664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 40534949664 in words is "forty billion, five hundred thirty-four million, nine hundred forty-nine thousand, six hundred sixty-four".