416126094023640 has 256 divisors, whose sum is σ = 1676144267320320. Its totient is φ = 79816393635840.

The previous prime is 416126094023581. The next prime is 416126094023677. The reversal of 416126094023640 is 46320490621614.

It is a super-2 number, since 2×416126094023640² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416126094023640.

It is a congruent number.

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, 1732006479 + ... + 1732246718.

It is an arithmetic number, because the mean of its divisors is an integer number (6547438544220).

Almost surely, 2^{416126094023640} is an apocalyptic number.

416126094023640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416126094023640 is an abundant number, since it is smaller than the sum of its proper divisors (1260018173296680).

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

416126094023640 is a wasteful number, since it uses less digits than its factorization.

416126094023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464253242 (or 3464253238 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 416126094023640 in words is "four hundred sixteen trillion, one hundred twenty-six billion, ninety-four million, twenty-three thousand, six hundred forty".