1354849440400 has 45 divisors (see below), whose sum is σ = 3255081710761. Its totient is φ = 541930464320.

The previous prime is 1354849440313. The next prime is 1354849440401. The reversal of 1354849440400 is 40449484531.

The square root of 1354849440400 is 1163980.

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., 487745798544 + 867103641856 = 698388^2 + 931184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1354849440401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23250501 + ... + 23308699.

Almost surely, 2^{1354849440400} is an apocalyptic number.

1354849440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1354849440400 is the 1163980-th square number.

It is an amenable number.

1354849440400 is an abundant number, since it is smaller than the sum of its proper divisors (1900232270361).

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

1354849440400 is an frugal number, since it uses more digits than its factorization.

1354849440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116416 (or 58206 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 1354849440400 in words is "one trillion, three hundred fifty-four billion, eight hundred forty-nine million, four hundred forty thousand, four hundred".