40151323245450 has 384 divisors, whose sum is σ = 108545391650304. Its totient is φ = 9785180160000.

The previous prime is 40151323245443. The next prime is 40151323245487. The reversal of 40151323245450 is 5454232315104.

It is a super-2 number, since 2×40151323245450² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40151323245399 and 40151323245408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3176271130 + ... + 3176283770.

It is an arithmetic number, because the mean of its divisors is an integer number (282670290756).

Almost surely, 2^{40151323245450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40151323245450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54272695825152).

40151323245450 is an abundant number, since it is smaller than the sum of its proper divisors (68394068404854).

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

40151323245450 is a wasteful number, since it uses less digits than its factorization.

40151323245450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 40151323245450 in words is "forty trillion, one hundred fifty-one billion, three hundred twenty-three million, two hundred forty-five thousand, four hundred fifty".