1290216522240 has 400 divisors, whose sum is σ = 4624854715800. Its totient is φ = 343781867520.

The previous prime is 1290216522233. The next prime is 1290216522263. The reversal of 1290216522240 is 422256120921.

1290216522240 is a `hidden beast` number, since 1 + 2 + 90 + 2 + 1 + 6 + 522 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1051494379776 + 238722142464 = 1025424^2 + 488592^2 .

It is a super-2 number, since 2×1290216522240² (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 = 1290216522195 and 1290216522204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506164486 + ... + 506167034.

Almost surely, 2^{1290216522240} is an apocalyptic number.

1290216522240 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 1290216522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312427357900).

1290216522240 is an abundant number, since it is smaller than the sum of its proper divisors (3334638193560).

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

1290216522240 is an equidigital number, since it uses as much as digits as its factorization.

1290216522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1290216522240 in words is "one trillion, two hundred ninety billion, two hundred sixteen million, five hundred twenty-two thousand, two hundred forty".