1351774448640 has 880 divisors, whose sum is σ = 6039409584384. Its totient is φ = 280881561600.

The previous prime is 1351774448627. The next prime is 1351774448657. The reversal of 1351774448640 is 468444771531.

1351774448640 is a `hidden beast` number, since 1 + 3 + 51 + 7 + 74 + 4 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31912275 + ... + 31954605.

Almost surely, 2^{1351774448640} is an apocalyptic number.

1351774448640 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 1351774448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019704792192).

1351774448640 is an abundant number, since it is smaller than the sum of its proper divisors (4687635135744).

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

1351774448640 is a wasteful number, since it uses less digits than its factorization.

1351774448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42386 (or 42359 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1351774448640 in words is "one trillion, three hundred fifty-one billion, seven hundred seventy-four million, four hundred forty-eight thousand, six hundred forty".