1540451312400 has 480 divisors, whose sum is σ = 6625453943808. Its totient is φ = 295470950400.

The previous prime is 1540451312399. The next prime is 1540451312503. The reversal of 1540451312400 is 42131540451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 559987 + ... + 1842413.

Almost surely, 2^{1540451312400} is an apocalyptic number.

1540451312400 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 1540451312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312726971904).

1540451312400 is an abundant number, since it is smaller than the sum of its proper divisors (5085002631408).

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

1540451312400 is a wasteful number, since it uses less digits than its factorization.

1540451312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282479 (or 1282468 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1540451312400 its reverse (42131540451), we get a palindrome (1582582852851).

The spelling of 1540451312400 in words is "one trillion, five hundred forty billion, four hundred fifty-one million, three hundred twelve thousand, four hundred".