416241745920 has 2176 divisors, whose sum is σ = 2029356564480. Its totient is φ = 78139883520.

The previous prime is 416241745901. The next prime is 416241745939. The reversal of 416241745920 is 29547142614.

416241745920 is a `hidden beast` number, since 4 + 1 + 624 + 17 + 4 + 5 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (416241745901) and next prime (416241745939).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8856207337 + ... + 8856207383.

Almost surely, 2^416241745920 is an apocalyptic number.

416241745920 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 416241745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014678282240).

416241745920 is an abundant number, since it is smaller than the sum of its proper divisors (1613114818560).

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

416241745920 is a wasteful number, since it uses less digits than its factorization.

416241745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 416241745920 in words is "four hundred sixteen billion, two hundred forty-one million, seven hundred forty-five thousand, nine hundred twenty".