10154406540 has 96 divisors (see below), whose sum is σ = 29229246144. Its totient is φ = 2632089600.

The previous prime is 10154406529. The next prime is 10154406557. The reversal of 10154406540 is 4560445101.

It is a super-2 number, since 2×10154406540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10154406498 and 10154406507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3552792 + ... + 3555648.

It is an arithmetic number, because the mean of its divisors is an integer number (304471314).

Almost surely, 2^10154406540 is an apocalyptic number.

10154406540 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 10154406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614623072).

10154406540 is an abundant number, since it is smaller than the sum of its proper divisors (19074839604).

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

10154406540 is a wasteful number, since it uses less digits than its factorization.

10154406540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10154406540 in words is "ten billion, one hundred fifty-four million, four hundred six thousand, five hundred forty".