3415400642754 has 384 divisors, whose sum is σ = 8763116544000. Its totient is φ = 990331453440.

The previous prime is 3415400642749. The next prime is 3415400642809. The reversal of 3415400642754 is 4572460045143.

3415400642754 is a `hidden beast` number, since 3 + 41 + 540 + 0 + 64 + 2 + 7 + 5 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3312706219 + ... + 3312707249.

It is an arithmetic number, because the mean of its divisors is an integer number (22820616000).

Almost surely, 2^{3415400642754} is an apocalyptic number.

3415400642754 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415400642754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381558272000).

3415400642754 is an abundant number, since it is smaller than the sum of its proper divisors (5347715901246).

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

3415400642754 is a wasteful number, since it uses less digits than its factorization.

3415400642754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 3415400642754 its reverse (4572460045143), we get a palindrome (7987860687897).

The spelling of 3415400642754 in words is "three trillion, four hundred fifteen billion, four hundred million, six hundred forty-two thousand, seven hundred fifty-four".