4101751961040 has 720 divisors, whose sum is σ = 14537575339200. Its totient is φ = 953849217024.

The previous prime is 4101751961017. The next prime is 4101751961063. The reversal of 4101751961040 is 401691571014.

It is an interprime number because it is at equal distance from previous prime (4101751961017) and next prime (4101751961063).

It is a self number, because there is not a number n which added to its sum of digits gives 4101751961040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2911107856 + ... + 2911109264.

It is an arithmetic number, because the mean of its divisors is an integer number (20191076860).

Almost surely, 2^{4101751961040} is an apocalyptic number.

4101751961040 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 4101751961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268787669600).

4101751961040 is an abundant number, since it is smaller than the sum of its proper divisors (10435823378160).

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

4101751961040 is a wasteful number, since it uses less digits than its factorization.

4101751961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 4101751961040 in words is "four trillion, one hundred one billion, seven hundred fifty-one million, nine hundred sixty-one thousand, forty".