901427163840 has 672 divisors, whose sum is σ = 3666215988864. Its totient is φ = 198985973760.

The previous prime is 901427163781. The next prime is 901427163859. The reversal of 901427163840 is 48361724109.

901427163840 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 2 + 7 + 1 + 638 + 4 + 0 = 666.

901427163840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×901427163840³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102186630 + ... + 102195450.

Almost surely, 2^901427163840 is an apocalyptic number.

901427163840 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 901427163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833107994432).

901427163840 is an abundant number, since it is smaller than the sum of its proper divisors (2764788825024).

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

901427163840 is a wasteful number, since it uses less digits than its factorization.

901427163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 901427163840 its reverse (48361724109), we get a palindrome (949788887949).

The spelling of 901427163840 in words is "nine hundred one billion, four hundred twenty-seven million, one hundred sixty-three thousand, eight hundred forty".