1621318224240 has 960 divisors, whose sum is σ = 6633325440000. Its totient is φ = 360811376640.

The previous prime is 1621318224221. The next prime is 1621318224259. The reversal of 1621318224240 is 424228131261.

1621318224240 is a `hidden beast` number, since 1 + 6 + 213 + 18 + 2 + 2 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1621318224221) and next prime (1621318224259).

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 = 1621318224195 and 1621318224204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 799071546 + ... + 799073574.

It is an arithmetic number, because the mean of its divisors is an integer number (6909714000).

Almost surely, 2^{1621318224240} is an apocalyptic number.

1621318224240 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 1621318224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316662720000).

1621318224240 is an abundant number, since it is smaller than the sum of its proper divisors (5012007215760).

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

1621318224240 is a wasteful number, since it uses less digits than its factorization.

1621318224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1621318224240 in words is "one trillion, six hundred twenty-one billion, three hundred eighteen million, two hundred twenty-four thousand, two hundred forty".