9475801251840 has 2304 divisors, whose sum is σ = 42945402165120. Its totient is φ = 1961990553600.

The previous prime is 9475801251821. The next prime is 9475801251857. The reversal of 9475801251840 is 481521085749.

9475801251840 is a `hidden beast` number, since 9 + 4 + 7 + 5 + 80 + 1 + 2 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×9475801251840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33721712500 + ... + 33721712780.

Almost surely, 2^{9475801251840} is an apocalyptic number.

9475801251840 is a gapful number since it is divisible by the number (90) 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 9475801251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472701082560).

9475801251840 is an abundant number, since it is smaller than the sum of its proper divisors (33469600913280).

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

9475801251840 is an equidigital number, since it uses as much as digits as its factorization.

9475801251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 9475801251840 in words is "nine trillion, four hundred seventy-five billion, eight hundred one million, two hundred fifty-one thousand, eight hundred forty".