3400471481442 has 64 divisors (see below), whose sum is σ = 7912214252544. Its totient is φ = 954149336640.

The previous prime is 3400471481419. The next prime is 3400471481479. The reversal of 3400471481442 is 2441841740043.

It is a happy number.

It is a super-2 number, since 2×3400471481442² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3400471481394 and 3400471481403.

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, 615273 + ... + 2679459.

It is an arithmetic number, because the mean of its divisors is an integer number (123628347696).

Almost surely, 2^{3400471481442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400471481442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956107126272).

3400471481442 is an abundant number, since it is smaller than the sum of its proper divisors (4511742771102).

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

3400471481442 is a wasteful number, since it uses less digits than its factorization.

3400471481442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064903.

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 3400471481442 in words is "three trillion, four hundred billion, four hundred seventy-one million, four hundred eighty-one thousand, four hundred forty-two".