40357645539120 has 3840 divisors, whose sum is σ = 191987520012288. Its totient is φ = 7636474920960.

The previous prime is 40357645539037. The next prime is 40357645539143. The reversal of 40357645539120 is 2193554675304.

40357645539120 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 7 + 64 + 553 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×40357645539120² (a number of 28 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 767 ways as a sum of consecutive naturals, for example, 68056737544 + ... + 68056738136.

Almost surely, 2^{40357645539120} is an apocalyptic number.

40357645539120 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 40357645539120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993760006144).

40357645539120 is an abundant number, since it is smaller than the sum of its proper divisors (151629874473168).

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

40357645539120 is a wasteful number, since it uses less digits than its factorization.

40357645539120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 40357645539120 in words is "forty trillion, three hundred fifty-seven billion, six hundred forty-five million, five hundred thirty-nine thousand, one hundred twenty".