414378961920 has 1056 divisors, whose sum is σ = 1850435596800. Its totient is φ = 86080389120.

The previous prime is 414378961907. The next prime is 414378961933. The reversal of 414378961920 is 29169873414.

414378961920 is a `hidden beast` number, since 4 + 14 + 3 + 7 + 8 + 9 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414378961907) and next prime (414378961933).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117087511 + ... + 117091049.

Almost surely, 2^414378961920 is an apocalyptic number.

414378961920 is a gapful number since it is divisible by the number (40) 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 414378961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925217798400).

414378961920 is an abundant number, since it is smaller than the sum of its proper divisors (1436056634880).

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

414378961920 is a wasteful number, since it uses less digits than its factorization.

414378961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 414378961920 in words is "four hundred fourteen billion, three hundred seventy-eight million, nine hundred sixty-one thousand, nine hundred twenty".