1945084541400 has 3840 divisors, whose sum is σ = 9800372736000. Its totient is φ = 344209305600.

The previous prime is 1945084541363. The next prime is 1945084541443. The reversal of 1945084541400 is 41454805491.

1945084541400 is a `hidden beast` number, since 1 + 9 + 4 + 50 + 8 + 454 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 18178360147 + ... + 18178360253.

It is an arithmetic number, because the mean of its divisors is an integer number (2552180400).

Almost surely, 2^{1945084541400} is an apocalyptic number.

1945084541400 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 1945084541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900186368000).

1945084541400 is an abundant number, since it is smaller than the sum of its proper divisors (7855288194600).

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

1945084541400 is a wasteful number, since it uses less digits than its factorization.

1945084541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1945084541400 in words is "one trillion, nine hundred forty-five billion, eighty-four million, five hundred forty-one thousand, four hundred".