4349630156400 has 480 divisors, whose sum is σ = 16119142683840. Its totient is φ = 1113053184000.

The previous prime is 4349630156383. The next prime is 4349630156423. The reversal of 4349630156400 is 46510369434.

4349630156400 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 630 + 1 + 5 + 6 + 4 + 0 + 0 = 666.

4349630156400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26930284 + ... + 27091316.

It is an arithmetic number, because the mean of its divisors is an integer number (33581547258).

Almost surely, 2^{4349630156400} is an apocalyptic number.

4349630156400 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 4349630156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059571341920).

4349630156400 is an abundant number, since it is smaller than the sum of its proper divisors (11769512527440).

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

4349630156400 is a wasteful number, since it uses less digits than its factorization.

4349630156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161162 (or 161145 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4349630156400 in words is "four trillion, three hundred forty-nine billion, six hundred thirty million, one hundred fifty-six thousand, four hundred".