10154415150040 has 128 divisors (see below), whose sum is σ = 26614388920320. Its totient is φ = 3414493555200.

The previous prime is 10154415149999. The next prime is 10154415150043. The reversal of 10154415150040 is 4005151445101.

It is a super-2 number, since 2×10154415150040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10154415149984 and 10154415150011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154415150043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38318395 + ... + 38582485.

It is an arithmetic number, because the mean of its divisors is an integer number (207924913440).

Almost surely, 2^{10154415150040} is an apocalyptic number.

10154415150040 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 10154415150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307194460160).

10154415150040 is an abundant number, since it is smaller than the sum of its proper divisors (16459973770280).

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

10154415150040 is a wasteful number, since it uses less digits than its factorization.

10154415150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266753 (or 266749 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

Adding to 10154415150040 its reverse (4005151445101), we get a palindrome (14159566595141).

The spelling of 10154415150040 in words is "ten trillion, one hundred fifty-four billion, four hundred fifteen million, one hundred fifty thousand, forty".