1640906112000 has 1408 divisors, whose sum is σ = 6003645972480. Its totient is φ = 396691046400.

The previous prime is 1640906111993. The next prime is 1640906112091. The reversal of 1640906112000 is 2116090461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 24491135967 + ... + 24491136033.

Almost surely, 2^{1640906112000} is an apocalyptic number.

1640906112000 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 1640906112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001822986240).

1640906112000 is an abundant number, since it is smaller than the sum of its proper divisors (4362739860480).

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

1640906112000 is a wasteful number, since it uses less digits than its factorization.

1640906112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 1640906112000 in words is "one trillion, six hundred forty billion, nine hundred six million, one hundred twelve thousand".