405150252514401 has 16 divisors (see below), whose sum is σ = 560043134844480. Its totient is φ = 260337511649280.

The previous prime is 405150252514391. The next prime is 405150252514411. The reversal of 405150252514401 is 104415252051504.

It is an interprime number because it is at equal distance from previous prime (405150252514391) and next prime (405150252514411).

It is a de Polignac number, because none of the positive numbers 2^k-405150252514401 is a prime.

It is a super-2 number, since 2×405150252514401² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405150252514401.

It is not an unprimeable number, because it can be changed into a prime (405150252514411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19842787936 + ... + 19842808353.

It is an arithmetic number, because the mean of its divisors is an integer number (35002695927780).

Almost surely, 2^{405150252514401} is an apocalyptic number.

405150252514401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

405150252514401 is a deficient number, since it is larger than the sum of its proper divisors (154892882330079).

405150252514401 is a wasteful number, since it uses less digits than its factorization.

405150252514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39685596416.

The product of its (nonzero) digits is 160000, while the sum is 39.

The spelling of 405150252514401 in words is "four hundred five trillion, one hundred fifty billion, two hundred fifty-two million, five hundred fourteen thousand, four hundred one".