157442260640 has 288 divisors, whose sum is σ = 452494957824. Its totient is φ = 51519283200.

The previous prime is 157442260627. The next prime is 157442260643. The reversal of 157442260640 is 46062244751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157442260643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131092040 + ... + 131093240.

It is an arithmetic number, because the mean of its divisors is an integer number (1571163048).

Almost surely, 2^157442260640 is an apocalyptic number.

157442260640 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 157442260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226247478912).

157442260640 is an abundant number, since it is smaller than the sum of its proper divisors (295052697184).

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

157442260640 is a wasteful number, since it uses less digits than its factorization.

157442260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 157442260640 in words is "one hundred fifty-seven billion, four hundred forty-two million, two hundred sixty thousand, six hundred forty".