945104509440 has 2560 divisors, whose sum is σ = 4413797498880. Its totient is φ = 186325401600.

The previous prime is 945104509429. The next prime is 945104509463. The reversal of 945104509440 is 44905401549.

945104509440 is a `hidden beast` number, since 9 + 4 + 510 + 4 + 5 + 0 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×945104509440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7214538175 + ... + 7214538305.

It is an arithmetic number, because the mean of its divisors is an integer number (1724139648).

Almost surely, 2^945104509440 is an apocalyptic number.

945104509440 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 945104509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206898749440).

945104509440 is an abundant number, since it is smaller than the sum of its proper divisors (3468692989440).

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

945104509440 is a wasteful number, since it uses less digits than its factorization.

945104509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 945104509440 in words is "nine hundred forty-five billion, one hundred four million, five hundred nine thousand, four hundred forty".