1540023320000 has 280 divisors, whose sum is σ = 4175185512960. Its totient is φ = 558762880000.

The previous prime is 1540023319979. The next prime is 1540023320027. The reversal of 1540023320000 is 233200451.

It is a happy number.

It is a super-2 number, since 2×1540023320000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210756347 + ... + 210763653.

It is an arithmetic number, because the mean of its divisors is an integer number (14911376832).

Almost surely, 2^{1540023320000} is an apocalyptic number.

1540023320000 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 1540023320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087592756480).

1540023320000 is an abundant number, since it is smaller than the sum of its proper divisors (2635162192960).

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

1540023320000 is an equidigital number, since it uses as much as digits as its factorization.

1540023320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1540023320000 its reverse (233200451), we get a palindrome (1540256520451).

The spelling of 1540023320000 in words is "one trillion, five hundred forty billion, twenty-three million, three hundred twenty thousand".