1601901887040 has 896 divisors, whose sum is σ = 6996064158720. Its totient is φ = 336001499136.

The previous prime is 1601901887029. The next prime is 1601901887099. The reversal of 1601901887040 is 407881091061.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 136013632 + ... + 136025408.

It is an arithmetic number, because the mean of its divisors is an integer number (7808107320).

Almost surely, 2^{1601901887040} is an apocalyptic number.

1601901887040 is a gapful number since it is divisible by the number (10) 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 1601901887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498032079360).

1601901887040 is an abundant number, since it is smaller than the sum of its proper divisors (5394162271680).

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

1601901887040 is a wasteful number, since it uses less digits than its factorization.

1601901887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1601901887040 in words is "one trillion, six hundred one billion, nine hundred one million, eight hundred eighty-seven thousand, forty".