157777439040 has 336 divisors, whose sum is σ = 585029023488. Its totient is φ = 38797996032.

The previous prime is 157777439011. The next prime is 157777439051. The reversal of 157777439040 is 40934777751.

It is a super-2 number, since 2×157777439040² (a number of 23 digits) contains 22 as substring.

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, 57019737 + ... + 57022503.

It is an arithmetic number, because the mean of its divisors is an integer number (1741157808).

Almost surely, 2^157777439040 is an apocalyptic number.

157777439040 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 157777439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292514511744).

157777439040 is an abundant number, since it is smaller than the sum of its proper divisors (427251584448).

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

157777439040 is a wasteful number, since it uses less digits than its factorization.

157777439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 157777439040 in words is "one hundred fifty-seven billion, seven hundred seventy-seven million, four hundred thirty-nine thousand, forty".