1009725038190 has 96 divisors (see below), whose sum is σ = 2882189527776. Its totient is φ = 243222670080.

The previous prime is 1009725038171. The next prime is 1009725038207. The reversal of 1009725038190 is 918305279001.

1009725038190 is a `hidden beast` number, since 10 + 0 + 9 + 7 + 250 + 381 + 9 + 0 = 666.

It is a super-2 number, since 2×1009725038190² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3092737 + ... + 3403596.

It is an arithmetic number, because the mean of its divisors is an integer number (30022807581).

Almost surely, 2^{1009725038190} is an apocalyptic number.

1009725038190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009725038190 is an abundant number, since it is smaller than the sum of its proper divisors (1872464489586).

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

1009725038190 is a wasteful number, since it uses less digits than its factorization.

1009725038190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496514 (or 6496511 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1009725038190 in words is "one trillion, nine billion, seven hundred twenty-five million, thirty-eight thousand, one hundred ninety".