1640357312000 has 480 divisors, whose sum is σ = 4641697412352. Its totient is φ = 577167360000.

The previous prime is 1640357311993. The next prime is 1640357312017. The reversal of 1640357312000 is 2137530461.

It is a super-2 number, since 2×1640357312000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240060584 + ... + 240067416.

Almost surely, 2^{1640357312000} is an apocalyptic number.

1640357312000 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 1640357312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320848706176).

1640357312000 is an abundant number, since it is smaller than the sum of its proper divisors (3001340100352).

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

1640357312000 is an equidigital number, since it uses as much as digits as its factorization.

1640357312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 1640357312000 in words is "one trillion, six hundred forty billion, three hundred fifty-seven million, three hundred twelve thousand".