10639177440 has 48 divisors (see below), whose sum is σ = 33513410448. Its totient is φ = 2837113856.

The previous prime is 10639177429. The next prime is 10639177447. The reversal of 10639177440 is 4477193601.

10639177440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10639177440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10639177392 and 10639177401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10639177447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11081997 + ... + 11082956.

It is an arithmetic number, because the mean of its divisors is an integer number (698196051).

Almost surely, 2^10639177440 is an apocalyptic number.

10639177440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10639177440 is an abundant number, since it is smaller than the sum of its proper divisors (22874233008).

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

10639177440 is a wasteful number, since it uses less digits than its factorization.

10639177440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164971 (or 22164963 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 10639177440 in words is "ten billion, six hundred thirty-nine million, one hundred seventy-seven thousand, four hundred forty".