10406777480 has 64 divisors (see below), whose sum is σ = 25554657600. Its totient is φ = 3782690560.

The previous prime is 10406777431. The next prime is 10406777551. The reversal of 10406777480 is 8477760401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723106 + ... + 1729134.

It is an arithmetic number, because the mean of its divisors is an integer number (399291525).

Almost surely, 2^10406777480 is an apocalyptic number.

10406777480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406777480 is an abundant number, since it is smaller than the sum of its proper divisors (15147880120).

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

10406777480 is a wasteful number, since it uses less digits than its factorization.

10406777480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 10406777480 in words is "ten billion, four hundred six million, seven hundred seventy-seven thousand, four hundred eighty".