340513454400 has 672 divisors, whose sum is σ = 1410698280960. Its totient is φ = 70065684480.

The previous prime is 340513454329. The next prime is 340513454401. The reversal of 340513454400 is 4454315043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340513454401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13124641 + ... + 13150559.

Almost surely, 2^340513454400 is an apocalyptic number.

340513454400 is a gapful number since it is divisible by the number (30) 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 340513454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705349140480).

340513454400 is an abundant number, since it is smaller than the sum of its proper divisors (1070184826560).

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

340513454400 is a wasteful number, since it uses less digits than its factorization.

340513454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25991 (or 25976 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 340513454400 its reverse (4454315043), we get a palindrome (344967769443).

The spelling of 340513454400 in words is "three hundred forty billion, five hundred thirteen million, four hundred fifty-four thousand, four hundred".