4351145497400 has 192 divisors, whose sum is σ = 11080045831680. Its totient is φ = 1579361011200.

The previous prime is 4351145497399. The next prime is 4351145497511. The reversal of 4351145497400 is 47945411534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64022237 + ... + 64090163.

It is an arithmetic number, because the mean of its divisors is an integer number (57708572040).

Almost surely, 2^{4351145497400} is an apocalyptic number.

4351145497400 is a gapful number since it is divisible by the number (40) 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 4351145497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540022915840).

4351145497400 is an abundant number, since it is smaller than the sum of its proper divisors (6728900334280).

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

4351145497400 is a wasteful number, since it uses less digits than its factorization.

4351145497400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68374 (or 68365 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 4351145497400 in words is "four trillion, three hundred fifty-one billion, one hundred forty-five million, four hundred ninety-seven thousand, four hundred".