40150177210242 has 192 divisors, whose sum is σ = 98596532256768. Its totient is φ = 11698070544000.

The previous prime is 40150177210151. The next prime is 40150177210277. The reversal of 40150177210242 is 24201277105104.

40150177210242 is a `hidden beast` number, since 4 + 0 + 1 + 501 + 7 + 7 + 2 + 102 + 42 = 666.

It is a super-2 number, since 2×40150177210242² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40150177210197 and 40150177210206.

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, 1207616463 + ... + 1207649709.

It is an arithmetic number, because the mean of its divisors is an integer number (513523605504).

Almost surely, 2^{40150177210242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40150177210242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49298266128384).

40150177210242 is an abundant number, since it is smaller than the sum of its proper divisors (58446355046526).

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

40150177210242 is a wasteful number, since it uses less digits than its factorization.

40150177210242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34565 (or 34562 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 40150177210242 in words is "forty trillion, one hundred fifty billion, one hundred seventy-seven million, two hundred ten thousand, two hundred forty-two".