4073401245888 has 336 divisors, whose sum is σ = 12764669517600. Its totient is φ = 1241813514240.

The previous prime is 4073401245877. The next prime is 4073401245899. The reversal of 4073401245888 is 8885421043704.

4073401245888 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 40 + 12 + 4 + 588 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4073401245877) and next prime (4073401245899).

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, 137921683 + ... + 137951213.

It is an arithmetic number, because the mean of its divisors is an integer number (37990087850).

Almost surely, 2^{4073401245888} is an apocalyptic number.

4073401245888 is a gapful number since it is divisible by the number (48) 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 4073401245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382334758800).

4073401245888 is an abundant number, since it is smaller than the sum of its proper divisors (8691268271712).

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

4073401245888 is a wasteful number, since it uses less digits than its factorization.

4073401245888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29697 (or 29658 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4073401245888 in words is "four trillion, seventy-three billion, four hundred one million, two hundred forty-five thousand, eight hundred eighty-eight".