34003400201040 has 160 divisors (see below), whose sum is σ = 111443002012800. Its totient is φ = 8552820049920.

The previous prime is 34003400201033. The next prime is 34003400201117. The reversal of 34003400201040 is 4010200430043.

It is a super-2 number, since 2×34003400201040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34003400200998 and 34003400201016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15237171 + ... + 17325650.

It is an arithmetic number, because the mean of its divisors is an integer number (696518762580).

Almost surely, 2^{34003400201040} is an apocalyptic number.

34003400201040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34003400201040 is an abundant number, since it is smaller than the sum of its proper divisors (77439601811760).

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

34003400201040 is a wasteful number, since it uses less digits than its factorization.

34003400201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32563085 (or 32563079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34003400201040 its reverse (4010200430043), we get a palindrome (38013600631083).

The spelling of 34003400201040 in words is "thirty-four trillion, three billion, four hundred million, two hundred one thousand, forty".