34402053144000 has 448 divisors, whose sum is σ = 121015081474560. Its totient is φ = 8586324172800.

The previous prime is 34402053143977. The next prime is 34402053144013. The reversal of 34402053144000 is 44135020443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37393524 + ... + 38302476.

It is an arithmetic number, because the mean of its divisors is an integer number (270122949720).

Almost surely, 2^{34402053144000} is an apocalyptic number.

34402053144000 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 34402053144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60507540737280).

34402053144000 is an abundant number, since it is smaller than the sum of its proper divisors (86613028330560).

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

34402053144000 is a wasteful number, since it uses less digits than its factorization.

34402053144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909085 (or 909065 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34402053144000 its reverse (44135020443), we get a palindrome (34446188164443).

The spelling of 34402053144000 in words is "thirty-four trillion, four hundred two billion, fifty-three million, one hundred forty-four thousand".