10154541040 has 120 divisors (see below), whose sum is σ = 27882010080. Its totient is φ = 3369070080.

The previous prime is 10154541017. The next prime is 10154541041. The reversal of 10154541040 is 4014545101.

It is a super-2 number, since 2×10154541040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10154540996 and 10154541014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154541041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528726 + ... + 547594.

It is an arithmetic number, because the mean of its divisors is an integer number (232350084).

Almost surely, 2^10154541040 is an apocalyptic number.

10154541040 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 10154541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941005040).

10154541040 is an abundant number, since it is smaller than the sum of its proper divisors (17727469040).

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

10154541040 is a wasteful number, since it uses less digits than its factorization.

10154541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18951 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 10154541040 in words is "ten billion, one hundred fifty-four million, five hundred forty-one thousand, forty".