1962066506400 has 1296 divisors, whose sum is σ = 9455619989088. Its totient is φ = 376330752000.

The previous prime is 1962066506381. The next prime is 1962066506497. The reversal of 1962066506400 is 46056602691.

1962066506400 is a `hidden beast` number, since 19 + 620 + 6 + 6 + 5 + 0 + 6 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50430955 + ... + 50469845.

It is an arithmetic number, because the mean of its divisors is an integer number (7296003078).

Almost surely, 2^{1962066506400} is an apocalyptic number.

1962066506400 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 1962066506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727809994544).

1962066506400 is an abundant number, since it is smaller than the sum of its proper divisors (7493553482688).

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

1962066506400 is a wasteful number, since it uses less digits than its factorization.

1962066506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38955 (or 38932 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1962066506400 in words is "one trillion, nine hundred sixty-two billion, sixty-six million, five hundred six thousand, four hundred".