4035057390000 has 2400 divisors, whose sum is σ = 18779407416000. Its totient is φ = 820979712000.

The previous prime is 4035057389989. The next prime is 4035057390041. The reversal of 4035057390000 is 937505304.

4035057390000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4035057390000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4987709596 + ... + 4987710404.

It is an arithmetic number, because the mean of its divisors is an integer number (7824753090).

Almost surely, 2^{4035057390000} is an apocalyptic number.

4035057390000 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 4035057390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389703708000).

4035057390000 is an abundant number, since it is smaller than the sum of its proper divisors (14744350026000).

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

4035057390000 is a wasteful number, since it uses less digits than its factorization.

4035057390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 4035057390000 in words is "four trillion, thirty-five billion, fifty-seven million, three hundred ninety thousand".