4129800407040 has 1152 divisors, whose sum is σ = 17650207411200. Its totient is φ = 812913131520.

The previous prime is 4129800407027. The next prime is 4129800407111. The reversal of 4129800407040 is 407040089214.

It is a self number, because there is not a number n which added to its sum of digits gives 4129800407040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314596957 + ... + 314610083.

It is an arithmetic number, because the mean of its divisors is an integer number (15321360600).

Almost surely, 2^{4129800407040} is an apocalyptic number.

4129800407040 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 4129800407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825103705600).

4129800407040 is an abundant number, since it is smaller than the sum of its proper divisors (13520407004160).

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

4129800407040 is a wasteful number, since it uses less digits than its factorization.

4129800407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13201 (or 13174 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 4129800407040 in words is "four trillion, one hundred twenty-nine billion, eight hundred million, four hundred seven thousand, forty".