1354015010040 has 512 divisors, whose sum is σ = 5250939955200. Its totient is φ = 271032975360.

The previous prime is 1354015009993. The next prime is 1354015010041. The reversal of 1354015010040 is 400105104531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354015010041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122452192 + ... + 122463248.

It is an arithmetic number, because the mean of its divisors is an integer number (10255742100).

Almost surely, 2^{1354015010040} is an apocalyptic number.

1354015010040 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 1354015010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625469977600).

1354015010040 is an abundant number, since it is smaller than the sum of its proper divisors (3896924945160).

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

1354015010040 is a wasteful number, since it uses less digits than its factorization.

1354015010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 1354015010040 in words is "one trillion, three hundred fifty-four billion, fifteen million, ten thousand, forty".