157981019040 has 576 divisors, whose sum is σ = 616627904256. Its totient is φ = 36487397376.

The previous prime is 157981018991. The next prime is 157981019059. The reversal of 157981019040 is 40910189751.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148617549 + ... + 148618611.

It is an arithmetic number, because the mean of its divisors is an integer number (1070534556).

Almost surely, 2^157981019040 is an apocalyptic number.

157981019040 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 157981019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313952128).

157981019040 is an abundant number, since it is smaller than the sum of its proper divisors (458646885216).

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

157981019040 is a wasteful number, since it uses less digits than its factorization.

157981019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 157981019040 in words is "one hundred fifty-seven billion, nine hundred eighty-one million, nineteen thousand, forty".