1352476640200 has 384 divisors, whose sum is σ = 3706875601920. Its totient is φ = 449384371200.

The previous prime is 1352476640189. The next prime is 1352476640257. The reversal of 1352476640200 is 20466742531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585997139 + ... + 2585997661.

It is an arithmetic number, because the mean of its divisors is an integer number (9653321880).

Almost surely, 2^{1352476640200} is an apocalyptic number.

1352476640200 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 1352476640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853437800960).

1352476640200 is an abundant number, since it is smaller than the sum of its proper divisors (2354398961720).

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

1352476640200 is a wasteful number, since it uses less digits than its factorization.

1352476640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 1352476640200 in words is "one trillion, three hundred fifty-two billion, four hundred seventy-six million, six hundred forty thousand, two hundred".