48965251440 has 320 divisors, whose sum is σ = 182020349952. Its totient is φ = 10652774400.

The previous prime is 48965251429. The next prime is 48965251451. The reversal of 48965251440 is 4415256984.

48965251440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48965251429) and next prime (48965251451).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48965251440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3169174 + ... + 3184586.

Almost surely, 2^48965251440 is an apocalyptic number.

48965251440 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 48965251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010174976).

48965251440 is an abundant number, since it is smaller than the sum of its proper divisors (133055098512).

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

48965251440 is a wasteful number, since it uses less digits than its factorization.

48965251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15528 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 48965251440 in words is "forty-eight billion, nine hundred sixty-five million, two hundred fifty-one thousand, four hundred forty".