1355471040 has 336 divisors, whose sum is σ = 5409444096. Its totient is φ = 281487360.

The previous prime is 1355471009. The next prime is 1355471059. The reversal of 1355471040 is 401745531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1355470989 and 1355471007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812287 + ... + 813953.

It is an arithmetic number, because the mean of its divisors is an integer number (16099536).

Almost surely, 2^1355471040 is an apocalyptic number.

1355471040 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 1355471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704722048).

1355471040 is an abundant number, since it is smaller than the sum of its proper divisors (4053973056).

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

1355471040 is a wasteful number, since it uses less digits than its factorization.

1355471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1355471040 is about 36816.7222875693. The cubic root of 1355471040 is about 1106.7004360593.

The spelling of 1355471040 in words is "one billion, three hundred fifty-five million, four hundred seventy-one thousand, forty".