40639027249152 has 1792 divisors, whose sum is σ = 142342649136000. Its totient is φ = 11502870331392.

The previous prime is 40639027249111. The next prime is 40639027249153. The reversal of 40639027249152 is 25194272093604.

It is a happy number.

40639027249152 is a `hidden beast` number, since 4 + 0 + 6 + 39 + 0 + 2 + 72 + 491 + 52 = 666.

It is a super-3 number, since 3×40639027249152³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40639027249153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177463000974 + ... + 177463001202.

Almost surely, 2^{40639027249152} 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 40639027249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71171324568000).

40639027249152 is an abundant number, since it is smaller than the sum of its proper divisors (101703621886848).

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

40639027249152 is an equidigital number, since it uses as much as digits as its factorization.

40639027249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 40639027249152 in words is "forty trillion, six hundred thirty-nine billion, twenty-seven million, two hundred forty-nine thousand, one hundred fifty-two".