1353690455040 has 880 divisors, whose sum is σ = 6047969647104. Its totient is φ = 281279692800.

The previous prime is 1353690455021. The next prime is 1353690455087. The reversal of 1353690455040 is 405540963531.

1353690455040 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 6 + 90 + 4 + 550 + 4 + 0 = 666.

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

It is a super-2 number, since 2×1353690455040² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 31912245 + ... + 31954635.

Almost surely, 2^{1353690455040} is an apocalyptic number.

1353690455040 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 1353690455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023984823552).

1353690455040 is an abundant number, since it is smaller than the sum of its proper divisors (4694279192064).

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

1353690455040 is a wasteful number, since it uses less digits than its factorization.

1353690455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42446 (or 42419 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1353690455040 in words is "one trillion, three hundred fifty-three billion, six hundred ninety million, four hundred fifty-five thousand, forty".