1013400340 has 48 divisors (see below), whose sum is σ = 2254029120. Its totient is φ = 381646080.

The previous prime is 1013400329. The next prime is 1013400361. The reversal of 1013400340 is 430043101.

It is a super-2 number, since 2×1013400340² = 2053960498224231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53760 + ... + 70120.

It is an arithmetic number, because the mean of its divisors is an integer number (46958940).

Almost surely, 2^1013400340 is an apocalyptic number.

1013400340 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 1013400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127014560).

1013400340 is an abundant number, since it is smaller than the sum of its proper divisors (1240628780).

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

1013400340 is a wasteful number, since it uses less digits than its factorization.

1013400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 16550 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013400340 is about 31833.9494879288. The cubic root of 1013400340 is about 1004.4469750986.

Adding to 1013400340 its reverse (430043101), we get a palindrome (1443443441).

The spelling of 1013400340 in words is "one billion, thirteen million, four hundred thousand, three hundred forty".