1655640001440 has 288 divisors, whose sum is σ = 5990145282576. Its totient is φ = 414982471680.

The previous prime is 1655640001391. The next prime is 1655640001459. The reversal of 1655640001440 is 441000465561.

1655640001440 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 640 + 0 + 0 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 569234034576 + 1086405966864 = 754476^2 + 1042308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1655640001440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1655640001395 and 1655640001404.

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, 18584844 + ... + 18673716.

Almost surely, 2^{1655640001440} is an apocalyptic number.

1655640001440 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 1655640001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995072641288).

1655640001440 is an abundant number, since it is smaller than the sum of its proper divisors (4334505281136).

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

1655640001440 is a wasteful number, since it uses less digits than its factorization.

1655640001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89672 (or 89661 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1655640001440 in words is "one trillion, six hundred fifty-five billion, six hundred forty million, one thousand, four hundred forty".