40802553792 has 672 divisors, whose sum is σ = 162905992704. Its totient is φ = 9779097600.

The previous prime is 40802553787. The next prime is 40802553809. The reversal of 40802553792 is 29735520804.

40802553792 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 2 + 553 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 15566242 + ... + 15568862.

It is an arithmetic number, because the mean of its divisors is an integer number (242419632).

Almost surely, 2^40802553792 is an apocalyptic number.

40802553792 is a gapful number since it is divisible by the number (42) 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 40802553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81452996352).

40802553792 is an abundant number, since it is smaller than the sum of its proper divisors (122103438912).

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

40802553792 is a wasteful number, since it uses less digits than its factorization.

40802553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 40802553792 in words is "forty billion, eight hundred two million, five hundred fifty-three thousand, seven hundred ninety-two".