405295265088 has 280 divisors, whose sum is σ = 1406548148544. Its totient is φ = 112973875200.

The previous prime is 405295265077. The next prime is 405295265093. The reversal of 405295265088 is 880562592504.

405295265088 is a `hidden beast` number, since 4 + 0 + 529 + 52 + 65 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1351603 + ... + 1624013.

Almost surely, 2^405295265088 is an apocalyptic number.

405295265088 is a gapful number since it is divisible by the number (48) 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 405295265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703274074272).

405295265088 is an abundant number, since it is smaller than the sum of its proper divisors (1001252883456).

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

405295265088 is a wasteful number, since it uses less digits than its factorization.

405295265088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272483 (or 272464 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 405295265088 in words is "four hundred five billion, two hundred ninety-five million, two hundred sixty-five thousand, eighty-eight".