10010545440 has 96 divisors (see below), whose sum is σ = 36037975680. Its totient is φ = 2288123904.

The previous prime is 10010545367. The next prime is 10010545487. The reversal of 10010545440 is 4454501001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10010545440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10010545440.

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, 1486305 + ... + 1493024.

It is an arithmetic number, because the mean of its divisors is an integer number (375395580).

Almost surely, 2^10010545440 is an apocalyptic number.

10010545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010545440 is an abundant number, since it is smaller than the sum of its proper divisors (26027430240).

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

10010545440 is a wasteful number, since it uses less digits than its factorization.

10010545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979354 (or 2979346 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 10010545440 in words is "ten billion, ten million, five hundred forty-five thousand, four hundred forty".