469156400640 has 960 divisors, whose sum is σ = 1768653798912. Its totient is φ = 114661785600.

The previous prime is 469156400639. The next prime is 469156400663. The reversal of 469156400640 is 46004651964.

It is a happy number.

469156400640 is a `hidden beast` number, since 46 + 9 + 1 + 564 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×469156400640² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1083501864 + ... + 1083502296.

Almost surely, 2^469156400640 is an apocalyptic number.

469156400640 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 469156400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884326899456).

469156400640 is an abundant number, since it is smaller than the sum of its proper divisors (1299497398272).

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

469156400640 is a wasteful number, since it uses less digits than its factorization.

469156400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 469156400640 in words is "four hundred sixty-nine billion, one hundred fifty-six million, four hundred thousand, six hundred forty".