1577112157440 has 216 divisors, whose sum is σ = 5464178498688. Its totient is φ = 419982520320.

The previous prime is 1577112157433. The next prime is 1577112157441. The reversal of 1577112157440 is 447512117751.

1577112157440 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 11 + 21 + 574 + 40 = 666.

It is a super-3 number, since 3×1577112157440³ (a number of 38 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1577112157441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8280885 + ... + 8469195.

Almost surely, 2^{1577112157440} is an apocalyptic number.

1577112157440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1577112157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732089249344).

1577112157440 is an abundant number, since it is smaller than the sum of its proper divisors (3887066341248).

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

1577112157440 is a wasteful number, since it uses less digits than its factorization.

1577112157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189065 (or 189048 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 1577112157440 in words is "one trillion, five hundred seventy-seven billion, one hundred twelve million, one hundred fifty-seven thousand, four hundred forty".