1354211040 has 576 divisors, whose sum is σ = 5521291776. Its totient is φ = 276369408.

The previous prime is 1354211029. The next prime is 1354211087. The reversal of 1354211040 is 401124531.

1354211040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1354210998 and 1354211016.

It is a congruent number.

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, 13147629 + ... + 13147731.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2^1354211040 is an apocalyptic number.

1354211040 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 1354211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760645888).

1354211040 is an abundant number, since it is smaller than the sum of its proper divisors (4167080736).

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

1354211040 is a wasteful number, since it uses less digits than its factorization.

1354211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1354211040 is about 36799.6065196355. The cubic root of 1354211040 is about 1106.3574126607.

Adding to 1354211040 its reverse (401124531), we get a palindrome (1755335571).

The spelling of 1354211040 in words is "one billion, three hundred fifty-four million, two hundred eleven thousand, forty".