1413757440 has 240 divisors, whose sum is σ = 5013616608. Its totient is φ = 367976448.

The previous prime is 1413757427. The next prime is 1413757441. The reversal of 1413757440 is 447573141.

1413757440 is a `hidden beast` number, since 1 + 41 + 3 + 7 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1413757395 and 1413757404.

It is not an unprimeable number, because it can be changed into a prime (1413757441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990007 + ... + 991433.

Almost surely, 2^1413757440 is an apocalyptic number.

1413757440 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 1413757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506808304).

1413757440 is an abundant number, since it is smaller than the sum of its proper divisors (3599859168).

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

1413757440 is a wasteful number, since it uses less digits than its factorization.

1413757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1413757440 is about 37599.9659574314. The cubic root of 1413757440 is about 1122.3413604776.

The spelling of 1413757440 in words is "one billion, four hundred thirteen million, seven hundred fifty-seven thousand, four hundred forty".