4701611000400 has 240 divisors, whose sum is σ = 15178887060480. Its totient is φ = 1243968972800.

The previous prime is 4701611000399. The next prime is 4701611000413. The reversal of 4701611000400 is 40001161074.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89132434 + ... + 89185166.

It is an arithmetic number, because the mean of its divisors is an integer number (63245362752).

Almost surely, 2^{4701611000400} is an apocalyptic number.

4701611000400 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 4701611000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589443530240).

4701611000400 is an abundant number, since it is smaller than the sum of its proper divisors (10477276060080).

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

4701611000400 is a wasteful number, since it uses less digits than its factorization.

4701611000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53323 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 4701611000400 its reverse (40001161074), we get a palindrome (4741612161474).

The spelling of 4701611000400 in words is "four trillion, seven hundred one billion, six hundred eleven million, four hundred", and thus it is an aban number.