48145957440 has 672 divisors, whose sum is σ = 189358341120. Its totient is φ = 10304630784.

The previous prime is 48145957439. The next prime is 48145957501. The reversal of 48145957440 is 4475954184.

It is a tau number, because it is divible by the number of its divisors (672).

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, 92057019 + ... + 92057541.

Almost surely, 2^48145957440 is an apocalyptic number.

48145957440 is a gapful number since it is divisible by the number (40) 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 48145957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94679170560).

48145957440 is an abundant number, since it is smaller than the sum of its proper divisors (141212383680).

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

48145957440 is a wasteful number, since it uses less digits than its factorization.

48145957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 48145957440 in words is "forty-eight billion, one hundred forty-five million, nine hundred fifty-seven thousand, four hundred forty".