10153233512040 has 256 divisors, whose sum is σ = 33971824569600. Its totient is φ = 2412512722944.

The previous prime is 10153233512003. The next prime is 10153233512077. The reversal of 10153233512040 is 4021533235101.

It is an interprime number because it is at equal distance from previous prime (10153233512003) and next prime (10153233512077).

It is a super-3 number, since 3×10153233512040³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 10153233511989 and 10153233512007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57780954 + ... + 57956406.

It is an arithmetic number, because the mean of its divisors is an integer number (132702439725).

Almost surely, 2^{10153233512040} is an apocalyptic number.

10153233512040 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 10153233512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985912284800).

10153233512040 is an abundant number, since it is smaller than the sum of its proper divisors (23818591057560).

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

10153233512040 is a wasteful number, since it uses less digits than its factorization.

10153233512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176996 (or 176992 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10153233512040 its reverse (4021533235101), we get a palindrome (14174766747141).

The spelling of 10153233512040 in words is "ten trillion, one hundred fifty-three billion, two hundred thirty-three million, five hundred twelve thousand, forty".