335945534940 has 240 divisors, whose sum is σ = 1088774184960. Its totient is φ = 86623551360.

The previous prime is 335945534921. The next prime is 335945534957. The reversal of 335945534940 is 49435549533.

335945534940 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 4 + 553 + 49 + 40 = 666.

It is a super-3 number, since 3×335945534940³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 88335079 + ... + 88338881.

It is an arithmetic number, because the mean of its divisors is an integer number (4536559104).

Almost surely, 2^335945534940 is an apocalyptic number.

335945534940 is a gapful number since it is divisible by the number (30) 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 335945534940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544387092480).

335945534940 is an abundant number, since it is smaller than the sum of its proper divisors (752828650020).

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

335945534940 is a wasteful number, since it uses less digits than its factorization.

335945534940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 335945534940 in words is "three hundred thirty-five billion, nine hundred forty-five million, five hundred thirty-four thousand, nine hundred forty".