48965981304240 has 1920 divisors, whose sum is σ = 238092001136640. Its totient is φ = 8983624826880.

The previous prime is 48965981304239. The next prime is 48965981304283. The reversal of 48965981304240 is 4240318956984.

48965981304240 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 5 + 9 + 81 + 304 + 240 = 666.

It is a super-2 number, since 2×48965981304240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 546981724 + ... + 547071236.

It is an arithmetic number, because the mean of its divisors is an integer number (124006250592).

Almost surely, 2^{48965981304240} is an apocalyptic number.

48965981304240 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 48965981304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119046000568320).

48965981304240 is an abundant number, since it is smaller than the sum of its proper divisors (189126019832400).

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

48965981304240 is a wasteful number, since it uses less digits than its factorization.

48965981304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89600 (or 89577 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 48965981304240 in words is "forty-eight trillion, nine hundred sixty-five billion, nine hundred eighty-one million, three hundred four thousand, two hundred forty".