1540379029140 has 72 divisors (see below), whose sum is σ = 5339980638720. Its totient is φ = 352086634944.

The previous prime is 1540379029129. The next prime is 1540379029181. The reversal of 1540379029140 is 419209730451.

1540379029140 is a `hidden beast` number, since 1 + 540 + 3 + 7 + 90 + 2 + 9 + 14 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611260260 + ... + 611262779.

It is an arithmetic number, because the mean of its divisors is an integer number (74166397760).

Almost surely, 2^{1540379029140} is an apocalyptic number.

1540379029140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540379029140 is an abundant number, since it is smaller than the sum of its proper divisors (3799601609580).

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

1540379029140 is a wasteful number, since it uses less digits than its factorization.

1540379029140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222523061 (or 1222523056 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1540379029140 in words is "one trillion, five hundred forty billion, three hundred seventy-nine million, twenty-nine thousand, one hundred forty".