901006439904 has 144 divisors (see below), whose sum is σ = 2607051899088. Its totient is φ = 295105130496.

The previous prime is 901006439803. The next prime is 901006439999. The reversal of 901006439904 is 409934600109.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 901006439904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7601704 + ... + 7719320.

It is an arithmetic number, because the mean of its divisors is an integer number (18104527077).

Almost surely, 2^901006439904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901006439904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303525949544).

901006439904 is an abundant number, since it is smaller than the sum of its proper divisors (1706045459184).

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

901006439904 is a wasteful number, since it uses less digits than its factorization.

901006439904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118097 (or 118086 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 901006439904 in words is "nine hundred one billion, six million, four hundred thirty-nine thousand, nine hundred four".