40131738245136 has 320 divisors, whose sum is σ = 119584174694400. Its totient is φ = 11513207808000.

The previous prime is 40131738245089. The next prime is 40131738245177. The reversal of 40131738245136 is 63154283713104.

It is a super-2 number, since 2×40131738245136² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186855411 + ... + 187070061.

It is an arithmetic number, because the mean of its divisors is an integer number (373700545920).

Almost surely, 2^{40131738245136} 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 40131738245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59792087347200).

40131738245136 is an abundant number, since it is smaller than the sum of its proper divisors (79452436449264).

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

40131738245136 is a wasteful number, since it uses less digits than its factorization.

40131738245136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215118 (or 215112 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 40131738245136 in words is "forty trillion, one hundred thirty-one billion, seven hundred thirty-eight million, two hundred forty-five thousand, one hundred thirty-six".