10142541440 has 32 divisors (see below), whose sum is σ = 24247014660. Its totient is φ = 4057016320.

The previous prime is 10142541433. The next prime is 10142541469. The reversal of 10142541440 is 4414524101.

It can be written as a sum of positive squares in 2 ways, for example, as 8254812736 + 1887728704 = 90856^2 + 43448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10142541440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7923221 + ... + 7924500.

Almost surely, 2^10142541440 is an apocalyptic number.

10142541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142541440 is an abundant number, since it is smaller than the sum of its proper divisors (14104473220).

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

10142541440 is an equidigital number, since it uses as much as digits as its factorization.

10142541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15847740 (or 15847728 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 10142541440 in words is "ten billion, one hundred forty-two million, five hundred forty-one thousand, four hundred forty".