4006215521520 has 320 divisors, whose sum is σ = 13324110059520. Its totient is φ = 992169345024.

The previous prime is 4006215521509. The next prime is 4006215521543. The reversal of 4006215521520 is 251255126004.

It is a super-2 number, since 2×4006215521520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862848319 + ... + 862852961.

It is an arithmetic number, because the mean of its divisors is an integer number (41637843936).

Almost surely, 2^{4006215521520} is an apocalyptic number.

4006215521520 is a gapful number since it is divisible by the number (40) 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 4006215521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662055029760).

4006215521520 is an abundant number, since it is smaller than the sum of its proper divisors (9317894538000).

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

4006215521520 is a wasteful number, since it uses less digits than its factorization.

4006215521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 4006215521520 in words is "four trillion, six billion, two hundred fifteen million, five hundred twenty-one thousand, five hundred twenty".