1405726140 has 96 divisors (see below), whose sum is σ = 4844367360. Its totient is φ = 296591616.

The previous prime is 1405726139. The next prime is 1405726159. The reversal of 1405726140 is 416275041.

It is a super-3 number, since 3×1405726140³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1405726098 and 1405726107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123270 + ... + 134189.

It is an arithmetic number, because the mean of its divisors is an integer number (50462160).

Almost surely, 2^1405726140 is an apocalyptic number.

1405726140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405726140 is an abundant number, since it is smaller than the sum of its proper divisors (3438641220).

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

1405726140 is a wasteful number, since it uses less digits than its factorization.

1405726140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257491 (or 257489 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1405726140 is about 37493.0145493797. The cubic root of 1405726140 is about 1120.2120506235.

The spelling of 1405726140 in words is "one billion, four hundred five million, seven hundred twenty-six thousand, one hundred forty".