10462978440 has 512 divisors, whose sum is σ = 39175488000. Its totient is φ = 2471067648.

The previous prime is 10462978433. The next prime is 10462978453. The reversal of 10462978440 is 4487926401.

10462978440 is a `hidden beast` number, since 10 + 4 + 629 + 7 + 8 + 4 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 22894692 + ... + 22895148.

It is an arithmetic number, because the mean of its divisors is an integer number (76514625).

Almost surely, 2^10462978440 is an apocalyptic number.

10462978440 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 10462978440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587744000).

10462978440 is an abundant number, since it is smaller than the sum of its proper divisors (28712509560).

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

10462978440 is a wasteful number, since it uses less digits than its factorization.

10462978440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10462978440 in words is "ten billion, four hundred sixty-two million, nine hundred seventy-eight thousand, four hundred forty".