416965231872 has 432 divisors, whose sum is σ = 1452155712000. Its totient is φ = 119125085184.

The previous prime is 416965231871. The next prime is 416965231951. The reversal of 416965231872 is 278132569614.

It is a happy number.

416965231872 is a `hidden beast` number, since 4 + 16 + 96 + 523 + 18 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (416965231871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27426129 + ... + 27441327.

Almost surely, 2^416965231872 is an apocalyptic number.

416965231872 is a gapful number since it is divisible by the number (42) 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 416965231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726077856000).

416965231872 is an abundant number, since it is smaller than the sum of its proper divisors (1035190480128).

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

416965231872 is an frugal number, since it uses more digits than its factorization.

416965231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15250 (or 15211 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 416965231872 in words is "four hundred sixteen billion, nine hundred sixty-five million, two hundred thirty-one thousand, eight hundred seventy-two".