416872038780 has 240 divisors, whose sum is σ = 1377476100000. Its totient is φ = 105245858304.

The previous prime is 416872038769. The next prime is 416872038787. The reversal of 416872038780 is 87830278614.

It is a happy number.

416872038780 is a `hidden beast` number, since 4 + 168 + 7 + 20 + 387 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416872038787) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59986746 + ... + 59993694.

It is an arithmetic number, because the mean of its divisors is an integer number (5739483750).

Almost surely, 2^416872038780 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 416872038780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688738050000).

416872038780 is an abundant number, since it is smaller than the sum of its proper divisors (960604061220).

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

416872038780 is a wasteful number, since it uses less digits than its factorization.

416872038780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 416872038780 in words is "four hundred sixteen billion, eight hundred seventy-two million, thirty-eight thousand, seven hundred eighty".