2140417621440 has 896 divisors, whose sum is σ = 8860755456000. Its totient is φ = 476191457280.

The previous prime is 2140417621393. The next prime is 2140417621457. The reversal of 2140417621440 is 441267140412.

2140417621440 is a `hidden beast` number, since 2 + 1 + 40 + 4 + 176 + 2 + 1 + 440 = 666.

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 = 2140417621395 and 2140417621404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1529961861 + ... + 1529963259.

It is an arithmetic number, because the mean of its divisors is an integer number (9889236000).

Almost surely, 2^{2140417621440} is an apocalyptic number.

2140417621440 is a gapful number since it is divisible by the number (20) 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 2140417621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430377728000).

2140417621440 is an abundant number, since it is smaller than the sum of its proper divisors (6720337834560).

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

2140417621440 is a wasteful number, since it uses less digits than its factorization.

2140417621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2140417621440 in words is "two trillion, one hundred forty billion, four hundred seventeen million, six hundred twenty-one thousand, four hundred forty".