466950138787440 has 3200 divisors, whose sum is σ = 2135876433444864. Its totient is φ = 91673607168000.

The previous prime is 466950138787361. The next prime is 466950138787499. The reversal of 466950138787440 is 44787831059664.

466950138787440 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 501 + 3 + 8 + 7 + 8 + 74 + 40 = 666.

It is a super-2 number, since 2×466950138787440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 395385383650 + ... + 395385384830.

Almost surely, 2^{466950138787440} is an apocalyptic number.

466950138787440 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 466950138787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067938216722432).

466950138787440 is an abundant number, since it is smaller than the sum of its proper divisors (1668926294657424).

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

466950138787440 is a wasteful number, since it uses less digits than its factorization.

466950138787440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 466950138787440 in words is "four hundred sixty-six trillion, nine hundred fifty billion, one hundred thirty-eight million, seven hundred eighty-seven thousand, four hundred forty".