10145025406440 has 160 divisors (see below), whose sum is σ = 34676499924000. Its totient is φ = 2659486836096.

The previous prime is 10145025406421. The next prime is 10145025406459. The reversal of 10145025406440 is 4460452054101.

10145025406440 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 2 + 5 + 4 + 0 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10145025406421) and next prime (10145025406459).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10145025406395 and 10145025406404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26344270 + ... + 26726589.

It is an arithmetic number, because the mean of its divisors is an integer number (216728124525).

Almost surely, 2^{10145025406440} is an apocalyptic number.

10145025406440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145025406440 is an abundant number, since it is smaller than the sum of its proper divisors (24531474517560).

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

10145025406440 is a wasteful number, since it uses less digits than its factorization.

10145025406440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53070941 (or 53070928 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10145025406440 in words is "ten trillion, one hundred forty-five billion, twenty-five million, four hundred six thousand, four hundred forty".