1945467040000 has 405 divisors, whose sum is σ = 5350745136121. Its totient is φ = 705210880000.

The previous prime is 1945467039983. The next prime is 1945467040007. The reversal of 1945467040000 is 407645491.

The square root of 1945467040000 is 1394800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1941541265664 + 3925774336 = 1393392^2 + 62656^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1945467040007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6137119842 + ... + 6137120158.

Almost surely, 2^{1945467040000} is an apocalyptic number.

1945467040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1945467040000 is the 1394800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945467040000

1945467040000 is an abundant number, since it is smaller than the sum of its proper divisors (3405278096121).

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

1945467040000 is an frugal number, since it uses more digits than its factorization.

1945467040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1945467040000 in words is "one trillion, nine hundred forty-five billion, four hundred sixty-seven million, forty thousand".