1545053450400 has 432 divisors, whose sum is σ = 5523450476544. Its totient is φ = 406365603840.

The previous prime is 1545053450399. The next prime is 1545053450401. The reversal of 1545053450400 is 40543505451.

1545053450400 is a `hidden beast` number, since 1 + 54 + 50 + 53 + 4 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1545053450399) and next prime (1545053450401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1545053450401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158186317 + ... + 158196083.

It is an arithmetic number, because the mean of its divisors is an integer number (12785764992).

Almost surely, 2^{1545053450400} is an apocalyptic number.

1545053450400 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 1545053450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761725238272).

1545053450400 is an abundant number, since it is smaller than the sum of its proper divisors (3978397026144).

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

1545053450400 is a wasteful number, since it uses less digits than its factorization.

1545053450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 1545053450400 its reverse (40543505451), we get a palindrome (1585596955851).

The spelling of 1545053450400 in words is "one trillion, five hundred forty-five billion, fifty-three million, four hundred fifty thousand, four hundred".