4351151554440 has 128 divisors (see below), whose sum is σ = 13191794300160. Its totient is φ = 1148017065984.

The previous prime is 4351151554423. The next prime is 4351151554489. The reversal of 4351151554440 is 444551511534.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4351151554392 and 4351151554401.

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, 42120132 + ... + 42223308.

It is an arithmetic number, because the mean of its divisors is an integer number (103060892970).

Almost surely, 2^{4351151554440} is an apocalyptic number.

4351151554440 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 4351151554440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595897150080).

4351151554440 is an abundant number, since it is smaller than the sum of its proper divisors (8840642745720).

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

4351151554440 is a wasteful number, since it uses less digits than its factorization.

4351151554440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106911 (or 106907 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 4351151554440 in words is "four trillion, three hundred fifty-one billion, one hundred fifty-one million, five hundred fifty-four thousand, four hundred forty".