40554993024 has 384 divisors, whose sum is σ = 146706094080. Its totient is φ = 10466979840.

The previous prime is 40554993007. The next prime is 40554993067. The reversal of 40554993024 is 42039945504.

40554993024 is a `hidden beast` number, since 4 + 0 + 554 + 9 + 93 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922989 + ... + 4931219.

It is an arithmetic number, because the mean of its divisors is an integer number (382047120).

Almost surely, 2^40554993024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40554993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353047040).

40554993024 is an abundant number, since it is smaller than the sum of its proper divisors (106151101056).

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

40554993024 is a wasteful number, since it uses less digits than its factorization.

40554993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 40554993024 in words is "forty billion, five hundred fifty-four million, nine hundred ninety-three thousand, twenty-four".