963315901440 has 704 divisors, whose sum is σ = 3525896908800. Its totient is φ = 249312411648.

The previous prime is 963315901409. The next prime is 963315901459. The reversal of 963315901440 is 44109513369.

963315901440 is a `hidden beast` number, since 9 + 6 + 3 + 3 + 1 + 590 + 14 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676960569 + ... + 676961991.

Almost surely, 2^963315901440 is an apocalyptic number.

963315901440 is a gapful number since it is divisible by the number (90) 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 963315901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762948454400).

963315901440 is an abundant number, since it is smaller than the sum of its proper divisors (2562581007360).

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

963315901440 is a wasteful number, since it uses less digits than its factorization.

963315901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 963315901440 in words is "nine hundred sixty-three billion, three hundred fifteen million, nine hundred one thousand, four hundred forty".