157409001149040 has 160 divisors (see below), whose sum is σ = 548880221352000. Its totient is φ = 41975733593088.

The previous prime is 157409001149021. The next prime is 157409001149111. The reversal of 157409001149040 is 40941100904751.

157409001149040 is a `hidden beast` number, since 1 + 5 + 7 + 409 + 0 + 0 + 114 + 90 + 40 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449667865 + ... + 450017784.

It is an arithmetic number, because the mean of its divisors is an integer number (3430501383450).

Almost surely, 2^{157409001149040} is an apocalyptic number.

157409001149040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157409001149040 is an abundant number, since it is smaller than the sum of its proper divisors (391471220202960).

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

157409001149040 is an frugal number, since it uses more digits than its factorization.

157409001149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899685683 (or 899685659 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 157409001149040 in words is "one hundred fifty-seven trillion, four hundred nine billion, one million, one hundred forty-nine thousand, forty".