48210746400 has 360 divisors, whose sum is σ = 176313129300. Its totient is φ = 12819824640.

The previous prime is 48210746371. The next prime is 48210746411. The reversal of 48210746400 is 464701284.

48210746400 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 0 + 7 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15668029584 + 32542716816 = 125172^2 + 180396^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×48210746400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29094372 + ... + 29096028.

Almost surely, 2^48210746400 is an apocalyptic number.

48210746400 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 48210746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88156564650).

48210746400 is an abundant number, since it is smaller than the sum of its proper divisors (128102382900).

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

48210746400 is a wasteful number, since it uses less digits than its factorization.

48210746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 48210746400 in words is "forty-eight billion, two hundred ten million, seven hundred forty-six thousand, four hundred".