340102466250400 has 576 divisors, whose sum is σ = 1003395362586624. Its totient is φ = 110120726016000.

The previous prime is 340102466250389. The next prime is 340102466250409. The reversal of 340102466250400 is 4052664201043.

It is a self number, because there is not a number n which added to its sum of digits gives 340102466250400.

It is not an unprimeable number, because it can be changed into a prime (340102466250409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1344752757 + ... + 1345005643.

It is an arithmetic number, because the mean of its divisors is an integer number (1742005837824).

Almost surely, 2^{340102466250400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340102466250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501697681293312).

340102466250400 is an abundant number, since it is smaller than the sum of its proper divisors (663292896336224).

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

340102466250400 is a wasteful number, since it uses less digits than its factorization.

340102466250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253133 (or 253120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 340102466250400 in words is "three hundred forty trillion, one hundred two billion, four hundred sixty-six million, two hundred fifty thousand, four hundred".