340415069401 has 81 divisors (see below), whose sum is σ = 407328662559. Its totient is φ = 284257327200.

The previous prime is 340415069389. The next prime is 340415069437. The reversal of 340415069401 is 104960514043.

The square root of 340415069401 is 583451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 178505405001 + 161909664400 = 422499^2 + 402380^2 .

It is not a de Polignac number, because 340415069401 - 2¹³ = 340415061209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340415069441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5769746910 + ... + 5769746968.

Almost surely, 2^340415069401 is an apocalyptic number.

340415069401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

340415069401 is the 583451-st square number.

340415069401 is the 291726-th centered octagonal number.

It is an amenable number.

340415069401 is a deficient number, since it is larger than the sum of its proper divisors (66913593158).

340415069401 is an equidigital number, since it uses as much as digits as its factorization.

340415069401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 340415069401 in words is "three hundred forty billion, four hundred fifteen million, sixty-nine thousand, four hundred one".