40137425047104 has 224 divisors, whose sum is σ = 132527404004352. Its totient is φ = 10415381760000.

The previous prime is 40137425047099. The next prime is 40137425047133. The reversal of 40137425047104 is 40174052473104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40137425047104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14246394 + ... + 16829574.

It is an arithmetic number, because the mean of its divisors is an integer number (591640196448).

Almost surely, 2^{40137425047104} is an apocalyptic number.

40137425047104 is a gapful number since it is divisible by the number (44) 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 40137425047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66263702002176).

40137425047104 is an abundant number, since it is smaller than the sum of its proper divisors (92389978957248).

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

40137425047104 is a wasteful number, since it uses less digits than its factorization.

40137425047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584265 (or 2584255 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 40137425047104 in words is "forty trillion, one hundred thirty-seven billion, four hundred twenty-five million, forty-seven thousand, one hundred four".