405037225520240 has 40 divisors (see below), whose sum is σ = 941727356447280. Its totient is φ = 162012170704896.

The previous prime is 405037225520237. The next prime is 405037225520299. The reversal of 405037225520240 is 42025522730504.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×405037225520240³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37693070 + ... + 47231789.

It is an arithmetic number, because the mean of its divisors is an integer number (23543183911182).

Almost surely, 2^{405037225520240} is an apocalyptic number.

405037225520240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405037225520240 is an abundant number, since it is smaller than the sum of its proper divisors (536690130927040).

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

405037225520240 is a wasteful number, since it uses less digits than its factorization.

405037225520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84984489 (or 84984483 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 41.

The spelling of 405037225520240 in words is "four hundred five trillion, thirty-seven billion, two hundred twenty-five million, five hundred twenty thousand, two hundred forty".