10472590440 has 384 divisors, whose sum is σ = 38610149760. Its totient is φ = 2537339904.

The previous prime is 10472590433. The next prime is 10472590459. The reversal of 10472590440 is 4409527401.

It is a happy number.

10472590440 is a `hidden beast` number, since 104 + 7 + 25 + 90 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10472590395 and 10472590404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8465502 + ... + 8466738.

It is an arithmetic number, because the mean of its divisors is an integer number (100547265).

Almost surely, 2^10472590440 is an apocalyptic number.

10472590440 is a gapful number since it is divisible by the number (10) 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 10472590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305074880).

10472590440 is an abundant number, since it is smaller than the sum of its proper divisors (28137559320).

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

10472590440 is a wasteful number, since it uses less digits than its factorization.

10472590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10472590440 in words is "ten billion, four hundred seventy-two million, five hundred ninety thousand, four hundred forty".