341962151040 has 384 divisors, whose sum is σ = 1202947200000. Its totient is φ = 89497976832.

The previous prime is 341962151023. The next prime is 341962151051. The reversal of 341962151040 is 40151269143.

It is a happy number.

341962151040 is a `hidden beast` number, since 3 + 4 + 19 + 621 + 5 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×341962151040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 341962150986 and 341962151004.

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, 71254561 + ... + 71259359.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675000).

Almost surely, 2^341962151040 is an apocalyptic number.

341962151040 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 341962151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600000).

341962151040 is an abundant number, since it is smaller than the sum of its proper divisors (860985048960).

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

341962151040 is a wasteful number, since it uses less digits than its factorization.

341962151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 341962151040 in words is "three hundred forty-one billion, nine hundred sixty-two million, one hundred fifty-one thousand, forty".