30445132541400 has 576 divisors, whose sum is σ = 107765641620000. Its totient is φ = 7692165734400.

The previous prime is 30445132541311. The next prime is 30445132541431. The reversal of 30445132541400 is 414523154403.

30445132541400 is a `hidden beast` number, since 3 + 0 + 4 + 45 + 1 + 32 + 541 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 645533820 + ... + 645580980.

Almost surely, 2^{30445132541400} is an apocalyptic number.

30445132541400 is a gapful number since it is divisible by the number (30) 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 30445132541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53882820810000).

30445132541400 is an abundant number, since it is smaller than the sum of its proper divisors (77320509078600).

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

30445132541400 is a wasteful number, since it uses less digits than its factorization.

30445132541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47444 (or 47432 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 30445132541400 its reverse (414523154403), we get a palindrome (30859655695803).

The spelling of 30445132541400 in words is "thirty trillion, four hundred forty-five billion, one hundred thirty-two million, five hundred forty-one thousand, four hundred".