10405142552 has 96 divisors (see below), whose sum is σ = 22950183600. Its totient is φ = 4409524224.

The previous prime is 10405142543. The next prime is 10405142557. The reversal of 10405142552 is 25524150401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405142557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18032888 + ... + 18033464.

Almost surely, 2^10405142552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405142552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475091800).

10405142552 is an abundant number, since it is smaller than the sum of its proper divisors (12545041048).

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

10405142552 is a wasteful number, since it uses less digits than its factorization.

10405142552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 10405142552 its reverse (25524150401), we get a palindrome (35929292953).

The spelling of 10405142552 in words is "ten billion, four hundred five million, one hundred forty-two thousand, five hundred fifty-two".