475751263440 has 320 divisors, whose sum is σ = 1516190457600. Its totient is φ = 123365376000.

The previous prime is 475751263423. The next prime is 475751263511. The reversal of 475751263440 is 44362157574.

It is a super-3 number, since 3×475751263440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 475751263440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791599140 + ... + 791599740.

It is an arithmetic number, because the mean of its divisors is an integer number (4738095180).

Almost surely, 2^475751263440 is an apocalyptic number.

475751263440 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 475751263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758095228800).

475751263440 is an abundant number, since it is smaller than the sum of its proper divisors (1040439194160).

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

475751263440 is a wasteful number, since it uses less digits than its factorization.

475751263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 475751263440 in words is "four hundred seventy-five billion, seven hundred fifty-one million, two hundred sixty-three thousand, four hundred forty".