1405237680 has 960 divisors, whose sum is σ = 6595292160. Its totient is φ = 270950400.

The previous prime is 1405237627. The next prime is 1405237703. The reversal of 1405237680 is 867325041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19792045 + ... + 19792115.

It is an arithmetic number, because the mean of its divisors is an integer number (6870096).

Almost surely, 2^1405237680 is an apocalyptic number.

1405237680 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 1405237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297646080).

1405237680 is an abundant number, since it is smaller than the sum of its proper divisors (5190054480).

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

1405237680 is a wasteful number, since it uses less digits than its factorization.

1405237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1405237680 is about 37486.4999699892. The cubic root of 1405237680 is about 1120.0822856211.

The spelling of 1405237680 in words is "one billion, four hundred five million, two hundred thirty-seven thousand, six hundred eighty".