10041431406000 has 320 divisors, whose sum is σ = 33420951148416. Its totient is φ = 2591834112000.

The previous prime is 10041431405983. The next prime is 10041431406023. The reversal of 10041431406000 is 60413414001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42728820 + ... + 42963180.

Almost surely, 2^{10041431406000} is an apocalyptic number.

10041431406000 is a gapful number since it is divisible by the number (10) 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 10041431406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710475574208).

10041431406000 is an abundant number, since it is smaller than the sum of its proper divisors (23379519742416).

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

10041431406000 is a wasteful number, since it uses less digits than its factorization.

10041431406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234617 (or 234601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10041431406000 in words is "ten trillion, forty-one billion, four hundred thirty-one million, four hundred six thousand".