4809151742400 has 672 divisors, whose sum is σ = 18492964588800. Its totient is φ = 1212367564800.

The previous prime is 4809151742389. The next prime is 4809151742411. The reversal of 4809151742400 is 42471519084.

4809151742400 is a `hidden beast` number, since 4 + 8 + 0 + 91 + 517 + 4 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4809151742389) and next prime (4809151742411).

It is a super-3 number, since 3×4809151742400³ (a number of 39 digits) contains 333 as substring.

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 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, 403006834 + ... + 403018766.

Almost surely, 2^{4809151742400} is an apocalyptic number.

4809151742400 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 4809151742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246482294400).

4809151742400 is an abundant number, since it is smaller than the sum of its proper divisors (13683812846400).

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

4809151742400 is a wasteful number, since it uses less digits than its factorization.

4809151742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4809151742400 in words is "four trillion, eight hundred nine billion, one hundred fifty-one million, seven hundred forty-two thousand, four hundred".