4711006310400 has 624 divisors, whose sum is σ = 18637882654720. Its totient is φ = 1159623475200.

The previous prime is 4711006310389. The next prime is 4711006310419. The reversal of 4711006310400 is 40136001174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×4711006310400² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35876865 + ... + 36007935.

Almost surely, 2^{4711006310400} is an apocalyptic number.

4711006310400 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 4711006310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9318941327360).

4711006310400 is an abundant number, since it is smaller than the sum of its proper divisors (13926876344320).

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

4711006310400 is a wasteful number, since it uses less digits than its factorization.

4711006310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 4711006310400 in words is "four trillion, seven hundred eleven billion, six million, three hundred ten thousand, four hundred".