1334197440 has 224 divisors, whose sum is σ = 4731471360. Its totient is φ = 353922048.

The previous prime is 1334197439. The next prime is 1334197453. The reversal of 1334197440 is 447914331.

1334197440 is a `hidden beast` number, since 133 + 419 + 74 + 40 = 666.

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 = 1334197395 and 1334197404.

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, 2652229 + ... + 2652731.

It is an arithmetic number, because the mean of its divisors is an integer number (21122640).

Almost surely, 2^1334197440 is an apocalyptic number.

1334197440 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 1334197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365735680).

1334197440 is an abundant number, since it is smaller than the sum of its proper divisors (3397273920).

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

1334197440 is a wasteful number, since it uses less digits than its factorization.

1334197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1334197440 is about 36526.6675184036. The cubic root of 1334197440 is about 1100.8801330648.

The spelling of 1334197440 in words is "one billion, three hundred thirty-four million, one hundred ninety-seven thousand, four hundred forty".