10742011400 has 24 divisors (see below), whose sum is σ = 24975176970. Its totient is φ = 4296804480.

The previous prime is 10742011381. The next prime is 10742011411. The reversal of 10742011400 is 411024701.

It can be written as a sum of positive squares in 3 ways, for example, as 9526931236 + 1215080164 = 97606^2 + 34858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26854829 + ... + 26855228.

Almost surely, 2^10742011400 is an apocalyptic number.

10742011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742011400 is an abundant number, since it is smaller than the sum of its proper divisors (14233165570).

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

10742011400 is a wasteful number, since it uses less digits than its factorization.

10742011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53710073 (or 53710064 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The spelling of 10742011400 in words is "ten billion, seven hundred forty-two million, eleven thousand, four hundred".