1404695040 has 640 divisors, whose sum is σ = 5727490560. Its totient is φ = 286261248.

The previous prime is 1404695029. The next prime is 1404695041. The reversal of 1404695040 is 405964041.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 1404694992 and 1404695010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404695041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26503654 + ... + 26503706.

It is an arithmetic number, because the mean of its divisors is an integer number (8949204).

Almost surely, 2^1404695040 is an apocalyptic number.

1404695040 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 1404695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863745280).

1404695040 is an abundant number, since it is smaller than the sum of its proper divisors (4322795520).

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

1404695040 is a wasteful number, since it uses less digits than its factorization.

1404695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1404695040 is about 37479.2614655092. The cubic root of 1404695040 is about 1119.9380918162.

The spelling of 1404695040 in words is "one billion, four hundred four million, six hundred ninety-five thousand, forty".