40137218356248 has 512 divisors, whose sum is σ = 125448970752000. Its totient is φ = 11808424581120.

The previous prime is 40137218356237. The next prime is 40137218356271. The reversal of 40137218356248 is 84265381273104.

40137218356248 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 2 + 1 + 8 + 3 + 5 + 624 + 8 = 666.

It is a super-2 number, since 2×40137218356248² (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 a junction number, because it is equal to n+sod(n) for n = 40137218356194 and 40137218356203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9424092343 + ... + 9424096601.

It is an arithmetic number, because the mean of its divisors is an integer number (245017521000).

Almost surely, 2^{40137218356248} 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 40137218356248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62724485376000).

40137218356248 is an abundant number, since it is smaller than the sum of its proper divisors (85311752395752).

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

40137218356248 is a wasteful number, since it uses less digits than its factorization.

40137218356248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40137218356248 in words is "forty trillion, one hundred thirty-seven billion, two hundred eighteen million, three hundred fifty-six thousand, two hundred forty-eight".