416905407380 has 384 divisors, whose sum is σ = 1175731200000. Its totient is φ = 122852674560.

The previous prime is 416905407371. The next prime is 416905407383. The reversal of 416905407380 is 83704509614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416905407383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154465271 + ... + 154467969.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800000).

Almost surely, 2^416905407380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416905407380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600000).

416905407380 is an abundant number, since it is smaller than the sum of its proper divisors (758825792620).

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

416905407380 is a wasteful number, since it uses less digits than its factorization.

416905407380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 416905407380 in words is "four hundred sixteen billion, nine hundred five million, four hundred seven thousand, three hundred eighty".