48661409280 has 640 divisors, whose sum is σ = 185655545856. Its totient is φ = 10734796800.

The previous prime is 48661409243. The next prime is 48661409287. The reversal of 48661409280 is 8290416684.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48661409287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44520414 + ... + 44521506.

Almost surely, 2^48661409280 is an apocalyptic number.

48661409280 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 48661409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92827772928).

48661409280 is an abundant number, since it is smaller than the sum of its proper divisors (136994136576).

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

48661409280 is a wasteful number, since it uses less digits than its factorization.

48661409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 48661409280 in words is "forty-eight billion, six hundred sixty-one million, four hundred nine thousand, two hundred eighty".