901853015040 has 968 divisors, whose sum is σ = 3437617331760. Its totient is φ = 226385362944.

The previous prime is 901853015027. The next prime is 901853015047. The reversal of 901853015040 is 40510358109.

901853015040 is a `hidden beast` number, since 90 + 18 + 53 + 0 + 1 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 901853014986 and 901853015004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901853015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 5744286642 + ... + 5744286798.

Almost surely, 2^901853015040 is an apocalyptic number.

901853015040 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 901853015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718808665880).

901853015040 is an abundant number, since it is smaller than the sum of its proper divisors (2535764316720).

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

901853015040 is an equidigital number, since it uses as much as digits as its factorization.

901853015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 901853015040 in words is "nine hundred one billion, eight hundred fifty-three million, fifteen thousand, forty".