48364906071040 has 1056 divisors, whose sum is σ = 139128609484800. Its totient is φ = 16057109053440.

The previous prime is 48364906071023. The next prime is 48364906071043. The reversal of 48364906071040 is 4017060946384.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (48364906071043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29082925249 + ... + 29082926911.

Almost surely, 2^{48364906071040} is an apocalyptic number.

48364906071040 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 48364906071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69564304742400).

48364906071040 is an abundant number, since it is smaller than the sum of its proper divisors (90763703413760).

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

48364906071040 is a wasteful number, since it uses less digits than its factorization.

48364906071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 48364906071040 in words is "forty-eight trillion, three hundred sixty-four billion, nine hundred six million, seventy-one thousand, forty".