1531240220400 has 480 divisors, whose sum is σ = 5428785868800. Its totient is φ = 365830732800.

The previous prime is 1531240220383. The next prime is 1531240220401. The reversal of 1531240220400 is 40220421351.

It is a super-2 number, since 2×1531240220400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531240220401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770628207 + ... + 770630193.

It is an arithmetic number, because the mean of its divisors is an integer number (11309970560).

Almost surely, 2^{1531240220400} is an apocalyptic number.

1531240220400 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 1531240220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714392934400).

1531240220400 is an abundant number, since it is smaller than the sum of its proper divisors (3897545648400).

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

1531240220400 is a wasteful number, since it uses less digits than its factorization.

1531240220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1531240220400 its reverse (40220421351), we get a palindrome (1571460641751).

The spelling of 1531240220400 in words is "one trillion, five hundred thirty-one billion, two hundred forty million, two hundred twenty thousand, four hundred".