1034400040135 has 32 divisors (see below), whose sum is σ = 1547872187904. Its totient is φ = 644694864000.

The previous prime is 1034400040039. The next prime is 1034400040153. The reversal of 1034400040135 is 5310400044301.

It is not a de Polignac number, because 1034400040135 - 2⁷ = 1034400040007 is a prime.

It is a super-2 number, since 2×1034400040135² (a number of 25 digits) contains 22 as substring.

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, 1731045 + ... + 2250625.

It is an arithmetic number, because the mean of its divisors is an integer number (48371005872).

Almost surely, 2^{1034400040135} is an apocalyptic number.

1034400040135 is a deficient number, since it is larger than the sum of its proper divisors (513472147769).

1034400040135 is a wasteful number, since it uses less digits than its factorization.

1034400040135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524775.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1034400040135 its reverse (5310400044301), we get a palindrome (6344800084436).

The spelling of 1034400040135 in words is "one trillion, thirty-four billion, four hundred million, forty thousand, one hundred thirty-five".