4146941245440 has 3072 divisors, whose sum is σ = 18172937502720. Its totient is φ = 784796221440.

The previous prime is 4146941245339. The next prime is 4146941245453. The reversal of 4146941245440 is 445421496414.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4146941245440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96440494059 + ... + 96440494101.

It is an arithmetic number, because the mean of its divisors is an integer number (5915669760).

Almost surely, 2^{4146941245440} is an apocalyptic number.

4146941245440 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 4146941245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086468751360).

4146941245440 is an abundant number, since it is smaller than the sum of its proper divisors (14025996257280).

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

4146941245440 is a wasteful number, since it uses less digits than its factorization.

4146941245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 4146941245440 in words is "four trillion, one hundred forty-six billion, nine hundred forty-one million, two hundred forty-five thousand, four hundred forty".