40145680474320 has 120 divisors (see below), whose sum is σ = 131346435763296. Its totient is φ = 10142066624256.

The previous prime is 40145680474279. The next prime is 40145680474409. The reversal of 40145680474320 is 2347408654104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40145680474320² (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 a self number, because there is not a number n which added to its sum of digits gives 40145680474320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231594342 + ... + 231767621.

Almost surely, 2^{40145680474320} is an apocalyptic number.

40145680474320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145680474320 is an abundant number, since it is smaller than the sum of its proper divisors (91200755288976).

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

40145680474320 is a wasteful number, since it uses less digits than its factorization.

40145680474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463362017 (or 463361992 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 40145680474320 in words is "forty trillion, one hundred forty-five billion, six hundred eighty million, four hundred seventy-four thousand, three hundred twenty".