40549934880 has 1152 divisors, whose sum is σ = 180177274368. Its totient is φ = 8384643072.

The previous prime is 40549934839. The next prime is 40549934897. The reversal of 40549934880 is 8843994504.

40549934880 is a `hidden beast` number, since 4 + 0 + 549 + 93 + 4 + 8 + 8 + 0 = 666.

40549934880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40549934880² (a number of 22 digits) contains 22 as substring.

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

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, 258279762 + ... + 258279918.

It is an arithmetic number, because the mean of its divisors is an integer number (156403884).

Almost surely, 2^40549934880 is an apocalyptic number.

40549934880 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 40549934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90088637184).

40549934880 is an abundant number, since it is smaller than the sum of its proper divisors (139627339488).

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

40549934880 is a wasteful number, since it uses less digits than its factorization.

40549934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40549934880 in words is "forty billion, five hundred forty-nine million, nine hundred thirty-four thousand, eight hundred eighty".