1978748622400 has 567 divisors, whose sum is σ = 5635174119393. Its totient is φ = 683308876800.

The previous prime is 1978748622313. The next prime is 1978748622401. The reversal of 1978748622400 is 42268478791.

The square root of 1978748622400 is 1406680.

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

It can be written as a sum of positive squares in only one way, i.e., 712349504064 + 1266399118336 = 844008^2 + 1125344^2 .

It is a super-2 number, since 2×1978748622400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1978748622401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14235601531 + ... + 14235601669.

Almost surely, 2^{1978748622400} is an apocalyptic number.

1978748622400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1978748622400 is the 1406680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1978748622400

1978748622400 is an abundant number, since it is smaller than the sum of its proper divisors (3656425496993).

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

1978748622400 is a wasteful number, since it uses less digits than its factorization.

1978748622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 1978748622400 in words is "one trillion, nine hundred seventy-eight billion, seven hundred forty-eight million, six hundred twenty-two thousand, four hundred".