350666106476400 has 1440 divisors, whose sum is σ = 1514220611178240. Its totient is φ = 76349744640000.

The previous prime is 350666106476393. The next prime is 350666106476449. The reversal of 350666106476400 is 4674601666053.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 742620375 + ... + 743092425.

It is an arithmetic number, because the mean of its divisors is an integer number (1051542091096).

Almost surely, 2^{350666106476400} is an apocalyptic number.

350666106476400 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 350666106476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757110305589120).

350666106476400 is an abundant number, since it is smaller than the sum of its proper divisors (1163554504701840).

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

350666106476400 is a wasteful number, since it uses less digits than its factorization.

350666106476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472152 (or 472122 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 350666106476400 in words is "three hundred fifty trillion, six hundred sixty-six billion, one hundred six million, four hundred seventy-six thousand, four hundred".