1405712880 has 800 divisors, whose sum is σ = 6034488768. Its totient is φ = 298598400.

The previous prime is 1405712879. The next prime is 1405712899. The reversal of 1405712880 is 882175041.

1405712880 is a `hidden beast` number, since 1 + 4 + 0 + 571 + 2 + 8 + 80 = 666.

It is a super-3 number, since 3×1405712880³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34285660 + ... + 34285700.

Almost surely, 2^1405712880 is an apocalyptic number.

1405712880 is a gapful number since it is divisible by the number (10) 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 1405712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017244384).

1405712880 is an abundant number, since it is smaller than the sum of its proper divisors (4628775888).

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

1405712880 is a wasteful number, since it uses less digits than its factorization.

1405712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1405712880 is about 37492.8377160225. The cubic root of 1405712880 is about 1120.2085283494.

The spelling of 1405712880 in words is "one billion, four hundred five million, seven hundred twelve thousand, eight hundred eighty".