414614534940 has 36 divisors (see below), whose sum is σ = 1257664089864. Its totient is φ = 110563875936.

The previous prime is 414614534933. The next prime is 414614534963. The reversal of 414614534940 is 49435416414.

414614534940 is a `hidden beast` number, since 4 + 14 + 6 + 14 + 534 + 94 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×414614534940³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151706862 + ... + 1151707221.

Almost surely, 2^414614534940 is an apocalyptic number.

It is an amenable number.

414614534940 is an abundant number, since it is smaller than the sum of its proper divisors (843049554924).

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

414614534940 is a wasteful number, since it uses less digits than its factorization.

414614534940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303414098 (or 2303414093 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 414614534940 in words is "four hundred fourteen billion, six hundred fourteen million, five hundred thirty-four thousand, nine hundred forty".