1005025045140 has 96 divisors (see below), whose sum is σ = 3126900309120. Its totient is φ = 267993331200.

The previous prime is 1005025045111. The next prime is 1005025045169. The reversal of 1005025045140 is 415405205001.

1005025045140 is a `hidden beast` number, since 10 + 0 + 5 + 0 + 2 + 504 + 5 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1005025045111) and next prime (1005025045169).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15850300 + ... + 15913580.

It is an arithmetic number, because the mean of its divisors is an integer number (32571878220).

Almost surely, 2^{1005025045140} is an apocalyptic number.

1005025045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005025045140 is an abundant number, since it is smaller than the sum of its proper divisors (2121875263980).

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

1005025045140 is a wasteful number, since it uses less digits than its factorization.

1005025045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92710 (or 92702 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1005025045140 in words is "one trillion, five billion, twenty-five million, forty-five thousand, one hundred forty".