335142501420 has 192 divisors, whose sum is σ = 988376256000. Its totient is φ = 84726964224.

The previous prime is 335142501401. The next prime is 335142501433. The reversal of 335142501420 is 24105241533.

It is a super-2 number, since 2×335142501420² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129247644 + ... + 129250236.

It is an arithmetic number, because the mean of its divisors is an integer number (5147793000).

Almost surely, 2^335142501420 is an apocalyptic number.

335142501420 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 335142501420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494188128000).

335142501420 is an abundant number, since it is smaller than the sum of its proper divisors (653233754580).

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

335142501420 is a wasteful number, since it uses less digits than its factorization.

335142501420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 335142501420 its reverse (24105241533), we get a palindrome (359247742953).

The spelling of 335142501420 in words is "three hundred thirty-five billion, one hundred forty-two million, five hundred one thousand, four hundred twenty".