40044635592192 has 480 divisors, whose sum is σ = 150353957445120. Its totient is φ = 9948975759360.

The previous prime is 40044635592121. The next prime is 40044635592209. The reversal of 40044635592192 is 29129553644004.

40044635592192 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 4 + 6 + 35 + 592 + 19 + 2 = 666.

It is a super-2 number, since 2×40044635592192² (a number of 28 digits) contains 22 as substring.

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, 5707284 + ... + 10614252.

It is an arithmetic number, because the mean of its divisors is an integer number (313237411344).

Almost surely, 2^{40044635592192} is an apocalyptic number.

40044635592192 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 40044635592192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75176978722560).

40044635592192 is an abundant number, since it is smaller than the sum of its proper divisors (110309321852928).

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

40044635592192 is a wasteful number, since it uses less digits than its factorization.

40044635592192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907034 (or 4907015 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 40044635592192 in words is "forty trillion, forty-four billion, six hundred thirty-five million, five hundred ninety-two thousand, one hundred ninety-two".