10040545115040 has 192 divisors, whose sum is σ = 34509926973312. Its totient is φ = 2433580339200.

The previous prime is 10040545114997. The next prime is 10040545115057. The reversal of 10040545115040 is 4051154504001.

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 = 10040545114989 and 10040545115007.

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, 26321514 + ... + 26700246.

It is an arithmetic number, because the mean of its divisors is an integer number (179739202986).

Almost surely, 2^{10040545115040} is an apocalyptic number.

10040545115040 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 10040545115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254963486656).

10040545115040 is an abundant number, since it is smaller than the sum of its proper divisors (24469381858272).

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

10040545115040 is a wasteful number, since it uses less digits than its factorization.

10040545115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383783 (or 383775 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 10040545115040 its reverse (4051154504001), we get a palindrome (14091699619041).

The spelling of 10040545115040 in words is "ten trillion, forty billion, five hundred forty-five million, one hundred fifteen thousand, forty".