405377669088 has 192 divisors, whose sum is σ = 1364639754240. Its totient is φ = 114675264000.

The previous prime is 405377669071. The next prime is 405377669107. The reversal of 405377669088 is 880966773504.

405377669088 is a `hidden beast` number, since 4 + 0 + 537 + 7 + 6 + 6 + 90 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 279033 + ... + 942663.

It is an arithmetic number, because the mean of its divisors is an integer number (7107498720).

Almost surely, 2^405377669088 is an apocalyptic number.

405377669088 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 405377669088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682319877120).

405377669088 is an abundant number, since it is smaller than the sum of its proper divisors (959262085152).

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

405377669088 is a wasteful number, since it uses less digits than its factorization.

405377669088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663758 (or 663744 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 405377669088 in words is "four hundred five billion, three hundred seventy-seven million, six hundred sixty-nine thousand, eighty-eight".