10434073770400 has 72 divisors (see below), whose sum is σ = 29111065835040. Its totient is φ = 3577396719360.

The previous prime is 10434073770377. The next prime is 10434073770427. The reversal of 10434073770400 is 407737043401.

It is a super-2 number, since 2×10434073770400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931608130 + ... + 931619329.

It is an arithmetic number, because the mean of its divisors is an integer number (404320358820).

Almost surely, 2^{10434073770400} is an apocalyptic number.

10434073770400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434073770400 is an abundant number, since it is smaller than the sum of its proper divisors (18676992064640).

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

10434073770400 is a wasteful number, since it uses less digits than its factorization.

10434073770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863227486 (or 1863227473 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 10434073770400 in words is "ten trillion, four hundred thirty-four billion, seventy-three million, seven hundred seventy thousand, four hundred".